Prime p₀= 8542856635665329 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 18 8 18 52 30 2 30 52 18 8 18 24 (?)
a_n: 0 24 42 50 68 120 150 152 182 234 252 260 278 302
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 302
Found by: stoneageman
db: batch=62, k=14, 24 18 8 18 52 30 2

SPT(16)	8542777570801783	0 18 96 100 126 138 154 168 196 210 226 238 264 268 346 364	-79064863546
TPT(14)	8542780708109717	0 2 42 44 54 56 60 62 114 116 144 146 210 212	-75927555612
SPT(14)	8542786689300499	0 72 142 240 262 280 294 328 342 360 382 480 550 622	-69946364830
SPT(14)	8542788135679801	0 6 16 22 40 66 70 78 82 108 126 132 142 148	-68499985528
SPT(14)	8542841981290037	0 42 50 80 92 102 114 122 134 144 156 186 194 236	-14654375292
SPT(14)	8542847838593153	0 30 56 74 96 140 170 180 210 254 276 294 320 350	-8797072176
SPT(14)	8542860943454039	0 38 42 44 54 80 90 122 132 158 168 170 174 212	4307788710
SPT(14)	8542863368047979	0 18 38 54 62 84 110 132 158 180 188 204 224 242	6732382650
SPT(14)	8542866029322059	0 2 44 50 74 80 120 164 204 210 234 240 282 284	9393656730
TPT(12)	8542870718055761	0 2 36 38 48 50 96 98 168 170 180 182	14082390432
SPT(14)	8542871169569291	0 36 48 80 90 102 146 162 206 218 228 260 272 308	14533903962