Prime p₀= 1258027729665161431 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 14 40 18 6 14 6 16 6 14 6 18 40 14 28 (?)
a_n: 0 28 42 82 100 106 120 126 142 148 162 168 186 226 240 268
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: 268
Found by: stoneageman
db: batch=77, k=16, 28 14 40 18 6 14 6 16

STPT(10)	1258026332320624379	0 2 42 44 60 62 78 80 120 122	-1397344537052
STPT(10)	1258026843741399047	0 2 30 32 42 44 54 56 84 86	-885923762384
SPT(16)	1258026851928502399	0 22 78 84 102 108 112 120 142 150 154 160 178 184 240 262	-877736659032
SPT(16)	1258027124569387231	0 72 76 118 126 148 156 192 286 322 330 352 360 402 406 478	-605095774200
SPT(16)	1258027514966715469	0 12 18 48 78 120 130 162 250 282 292 334 364 394 400 412	-214698445962
TPT(14)	1258027567519745831	0 2 18 20 48 50 96 98 156 158 210 212 228 230	-162145415600
STPT(10)	1258028019726698159	0 2 42 44 60 62 78 80 120 122	290061536728
STPT(10)	1258028119430365079	0 2 18 20 30 32 42 44 60 62	389765203648
TPT(14)	1258028286787151237	0 2 12 14 72 74 120 122 150 152 210 212 222 224	557121989806
STPT(10)	1258028443843691459	0 2 42 44 60 62 78 80 120 122	714178530028
SPT(16)	1258028945478490517	0 54 72 80 182 192 210 222 224 236 254 264 366 374 392 446	1215813329086