Prime p₀= 1297972080426338521 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 28 42 24 14 40 20 22 20 40 14 24 42 28 42 (?)
a_n: 0 42 70 112 136 150 190 210 232 252 292 306 330 372 400 442
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 442
Found by: Cruncher Pete
db: batch=77, k=16, 42 28 42 24 14 40 20 22

SPT(16)	1297970958058928009	0 48 50 120 140 150 168 182 198 212 230 240 260 330 332 380	-1122367410512
SPT(16)	1297971337700468047	0 40 60 94 162 166 172 180 196 204 210 214 282 316 336 376	-742725870474
SPT(16)	1297971415760272807	0 10 16 46 94 112 114 126 130 142 144 162 210 240 246 256	-664666065714
TPT(14)	1297971422344610147	0 2 12 14 24 26 54 56 114 116 180 182 450 452	-658081728374
SPT(16)	1297971425112444839	0 12 38 54 80 108 138 168 194 224 254 282 308 324 350 362	-655313893682
SPT(16)	1297971463122936761	0 8 56 78 96 102 110 126 302 318 326 332 350 372 420 428	-617303401760
SPT(16)	1297972373413391213	0 14 38 44 54 80 108 128 150 170 198 224 234 240 264 278	292987052692
TPT(14)	1297972544840742467	0 2 12 14 54 56 102 104 114 116 144 146 180 182	464414403946
SPT(16)	1297972945713197011	0 18 40 60 70 88 96 112 126 142 150 168 178 198 220 238	865286858490
SPT(16)	1297973098135040099	0 12 38 62 68 80 110 134 168 192 222 234 240 264 290 302	1017708701578
SPT(16)	1297973245733917759	0 4 10 30 42 48 90 132 220 262 304 310 322 342 348 352	1165307579238