Prime p₀= 1279588696968391879 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 16 116 40 44 4 8 22 8 4 44 40 116 16 42 (?)
a_n: 0 42 58 174 214 258 262 270 292 300 304 348 388 504 520 562
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: 562
Found by: BlackGoose05
db: batch=77, k=16, 42 16 116 40 44 4 8 22

SPT(16)	1279586510294639033	0 54 68 84 110 116 134 144 170 180 198 204 230 246 260 314	-2186673752846
TPT(14)	1279586638193681927	0 2 42 44 90 92 102 104 174 176 180 182 264 266	-2058774709952
STPT(10)	1279587101558278697	0 2 30 32 60 62 90 92 120 122	-1595410113182
SPT(16)	1279587234032282431	0 48 102 142 168 210 216 258 280 322 328 370 396 436 490 538	-1462936109448
STPT(10)	1279587570456319379	0 2 48 50 90 92 132 134 180 182	-1126512072500
STPT(10)	1279588408625243147	0 2 54 56 72 74 90 92 144 146	-288343148732
STPT(10)	1279588786377707087	0 2 42 44 72 74 102 104 144 146	89409315208
TPT(16)	1279588892456044991	0 2 6 8 36 38 60 62 78 80 120 122 186 188 366 368	195487653112
STPT(10)	1279588932047094197	0 2 12 14 42 44 72 74 84 86	235078702318
SPT(16)	1279589481546033247	0 6 10 66 150 156 196 204 232 240 280 286 370 426 430 436	784577641368
SPT(16)	1279589578386450629	0 18 30 68 72 74 90 134 138 182 198 200 204 242 254 272	881418058750