Prime p₀= 68659969173163073 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 20 46 14 12 30 22 30 12 14 46 20 24 (?)
a_n: 0 24 44 90 104 116 146 168 198 210 224 270 290 314
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: 314
Found by: nenym
db: batch=67, k=14, 24 20 46 14 12 30 22

SPT(14)	68659899439583003	0 14 18 38 80 84 110 138 164 168 210 230 234 248	-69733580070
SPT(14)	68659900757686583	0 24 38 48 50 60 78 86 104 114 116 126 140 164	-68415476490
TPT(12)	68659908128180777	0 2 72 74 114 116 132 134 330 332 342 344	-61044982296
SPT(14)	68659911543545669	0 44 54 84 102 132 140 144 152 182 200 230 240 284	-57629617404
SPT(14)	68659913311678979	0 12 14 44 80 110 132 170 192 222 258 288 290 302	-55861484094
SPT(14)	68659918377276091	0 12 40 60 130 136 166 192 222 228 298 318 346 358	-50795886982
SPT(14)	68659970687586581	0 2 8 36 56 72 90 128 146 162 182 210 216 218	1514423508
SPT(14)	68659975831313917	0 24 46 52 96 150 156 250 256 310 354 360 382 406	6658150844
SPT(14)	68659985877490391	0 18 26 38 80 108 150 158 200 228 270 282 290 308	16704327318
SPT(14)	68659996365864641	0 20 30 38 96 122 128 150 156 182 240 248 258 278	27192701568
SPT(14)	68660007229286527	0 6 10 40 42 70 82 174 186 214 216 246 250 256	38056123454