Prime p₀= 1028111231511160837 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 28 2 4 6 74 4 2 4 74 6 4 2 28 6 (?)
a_n: 0 6 34 36 40 46 120 124 126 130 204 210 214 216 244 250
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: 250
Found by: HenkM
db: batch=76, k=16, 6 28 2 4 6 74 4 2

SPT(16)	1028110169844551641	0 46 58 112 168 238 240 262 396 418 420 490 546 600 612 658	-1061666609196
STPT(12)	1028110222840387871	0 2 30 32 60 62 186 188 216 218 246 248	-1008670772966
SPT(16)	1028110597301366099	0 20 24 44 80 108 114 164 174 224 230 258 294 314 318 338	-634209794738
SPT(16)	1028110822362527987	0 26 32 44 72 102 114 146 150 182 194 224 252 264 270 296	-409148632850
STPT(10)	1028110964082059951	0 2 36 38 78 80 120 122 156 158	-267429100886
SPT(16)	1028111145566630897	0 6 30 32 62 90 134 182 204 252 296 324 354 356 380 386	-85944529940
STPT(10)	1028111469056434727	0 2 30 32 42 44 54 56 84 86	237545273890
TPT(14)	1028111709729575831	0 2 6 8 90 92 96 98 150 152 180 182 246 248	478218414994
SPT(16)	1028111718580119913	0 48 54 60 70 106 148 178 246 276 318 354 364 370 376 424	487068959076
SPT(16)	1028111723292324163	0 10 34 70 100 124 160 180 238 258 294 318 348 384 408 418	491781163326
SPT(16)	1028111829823977791	0 6 72 78 96 162 182 188 210 216 236 302 320 326 392 398	598312816954