Prime p₀= 1297971422344610147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 28 2 58 2 64 2 268 2 (?)
a_n: 0 2 12 14 24 26 54 56 114 116 180 182 450 452
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 452
Found by: Cruncher Pete
db: batch=77, k=14, 10 10 28 58 64 268

SPT(16)	1297970564508491441	0 50 66 96 102 156 240 270 302 332 416 470 476 506 522 572	-857836118706
STPT(10)	1297970811528813839	0 2 18 20 30 32 42 44 60 62	-610815796308
STPT(10)	1297970956557531041	0 2 36 38 78 80 120 122 156 158	-465787079106
SPT(16)	1297970958058928009	0 48 50 120 140 150 168 182 198 212 230 240 260 330 332 380	-464285682138
SPT(16)	1297971337700468047	0 40 60 94 162 166 172 180 196 204 210 214 282 316 336 376	-84644142100
SPT(16)	1297971415760272807	0 10 16 46 94 112 114 126 130 142 144 162 210 240 246 256	-6584337340
SPT(16)	1297971425112444839	0 12 38 54 80 108 138 168 194 224 254 282 308 324 350 362	2767834692
SPT(16)	1297971463122936761	0 8 56 78 96 102 110 126 302 318 326 332 350 372 420 428	40778326614
SPT(16)	1297972080426338521	0 42 70 112 136 150 190 210 232 252 292 306 330 372 400 442	658081728374
SPT(16)	1297972373413391213	0 14 38 44 54 80 108 128 150 170 198 224 234 240 264 278	951068781066
TPT(14)	1297972544840742467	0 2 12 14 54 56 102 104 114 116 144 146 180 182	1122496132320