Prime p₀= 1124923314170346659 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 6 6 24 18 16 26 4 26 16 18 24 6 6 8 (?)
a_n: 0 8 14 20 44 62 78 104 108 134 150 168 192 198 204 212
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: 212
Found by: crashtech
db: batch=76, k=16, 8 6 6 24 18 16 26 4

SPT(18)	1124922633152749693	0 10 40 70 78 100 108 120 126 190 196 208 216 238 246 276 306 316	-681017596966
SPT(16)	1124922687581692591	0 36 40 42 48 72 96 106 132 142 166 190 196 198 202 238	-626588654068
SPT(16)	1124922850012588021	0 22 28 30 126 136 142 150 238 246 252 262 358 360 366 388	-464157758638
SPT(16)	1124923046734679917	0 40 46 106 130 156 160 190 222 252 256 282 306 366 372 412	-267435666742
STPT(12)	1124923119373760921	0 2 30 32 60 62 126 128 156 158 186 188	-194796585738
SPT(16)	1124923261730431349	0 14 50 60 72 90 110 132 140 162 182 200 212 222 258 272	-52439915310
TPT(14)	1124923609429431311	0 2 36 38 66 68 90 92 126 128 216 218 360 362	295259084652
TPT(14)	1124923667951735651	0 2 60 62 138 140 150 152 156 158 180 182 348 350	353781388992
SPT(16)	1124923812694478471	0 6 26 50 72 90 110 120 182 192 212 230 252 276 296 302	498524131812
SPT(16)	1124923945559647703	0 8 30 66 84 108 158 194 210 246 296 320 338 374 396 404	631389301044
SPT(16)	1124924178930825851	0 12 26 62 86 110 120 132 140 152 162 186 210 246 260 272	864760479192