Prime p₀= 1273667469281274049 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 22 12 18 12 18 8 34 8 18 12 18 12 22 30 (?)
a_n: 0 30 52 64 82 94 112 120 154 162 180 192 210 222 244 274
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: 274
Found by: HenkM
db: batch=77, k=16, 30 22 12 18 12 18 8 34

STPT(10)	1273666294809076739	0 2 18 20 30 32 42 44 60 62	-1174472197310
SPT(16)	1273666538741000461	0 18 36 66 100 148 168 192 226 250 270 318 352 382 400 418	-930540273588
SPT(16)	1273666801951856441	0 6 8 42 90 120 122 138 290 306 308 338 386 420 422 428	-667329417608
STPT(10)	1273666850937051377	0 2 42 44 72 74 102 104 144 146	-618344222672
SPT(16)	1273666866252425231	0 32 56 72 80 122 126 152 156 182 186 228 236 252 276 308	-603028848818
STPT(10)	1273666904261847881	0 2 30 32 60 62 90 92 120 122	-565019426168
SPT(16)	1273668089934585707	0 14 74 84 96 134 146 162 284 300 312 350 362 372 432 446	620653311658
SPT(16)	1273668091840488161	0 30 42 72 80 98 110 126 182 198 210 228 236 266 278 308	622559214112
SPT(16)	1273668383429303419	0 22 34 42 84 88 90 132 160 202 204 208 250 258 270 292	914148029370
SPT(16)	1273668493452129433	0 16 40 54 64 148 154 156 388 390 396 480 490 504 528 544	1024170855384
SPT(16)	1273668906345029917	0 34 42 64 66 90 132 144 262 274 316 340 342 364 372 406	1437063755868