Prime p₀= 1268551767573843847 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 18 12 28 24 42 20 4 20 42 24 28 12 18 12 (?)
a_n: 0 12 30 42 70 94 136 156 160 180 222 246 274 286 304 316
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: 316
Found by: Megacruncher
db: batch=77, k=16, 12 18 12 28 24 42 20 4

SPT(16)	1268550745263533863	0 24 36 40 54 120 138 196 228 286 304 370 384 388 400 424	-1022310309984
STPT(10)	1268551277340156779	0 2 12 14 30 32 48 50 60 62	-490233687068
SPT(16)	1268551278635032309	0 4 22 82 114 142 154 168 334 348 360 388 420 480 498 502	-488938811538
STPT(10)	1268551310732617907	0 2 30 32 72 74 114 116 144 146	-456841225940
STPT(12)	1268551460110190747	0 2 12 14 30 32 54 56 72 74 84 86	-307463653100
SPT(16)	1268551683822499379	0 2 42 44 174 252 294 338 354 398 440 518 648 650 690 692	-83751344468
SPT(16)	1268551854155410399	0 28 60 130 168 190 222 238 264 280 312 334 372 442 474 502	86581566552
SPT(16)	1268551898933507819	0 24 42 72 78 92 120 134 228 242 270 284 290 320 338 362	131359663972
STPT(10)	1268551915536109049	0 2 18 20 30 32 42 44 60 62	147962265202
STPT(10)	1268552369157307049	0 2 12 14 30 32 48 50 60 62	601583463202
SPT(13)	1268552452389696053	0 6 48 66 90 126 138 150 186 210 228 270 276	684815852206