Prime p₀= 350164701775429679 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 8 4 26 84 6 4 6 84 26 4 8 12 (?)
a_n: 0 12 20 24 50 134 140 144 150 234 260 264 272 284
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: 284
Found by: Theadalus
db: batch=70, k=14, 12 8 4 26 84 6 4

SPT(14)	350164607417612147	0 26 30 44 56 84 110 186 212 240 252 266 270 296	-94357817532
TPT(12)	350164612790491619	0 2 42 44 180 182 198 200 222 224 282 284	-88984938060
TPT(12)	350164665670693871	0 2 6 8 30 32 48 50 126 128 138 140	-36104735808
SPT(14)	350164669514236441	0 12 36 40 42 60 76 132 148 166 168 172 196 208	-32261193238
SPT(14)	350164675529288491	0 28 78 82 160 172 180 190 198 210 288 292 342 370	-26246141188
SPT(14)	350164675610921329	0 34 70 90 120 132 204 208 280 292 322 342 378 412	-26164508350
SPT(14)	350164719154231801	0 30 46 96 120 162 166 186 190 232 256 306 322 352	17378802122
SPT(14)	350164744669111093	0 10 16 30 108 168 186 238 256 316 394 408 414 424	42893681414
SPT(14)	350164763617115261	0 2 8 66 78 80 92 126 138 140 152 210 216 218	61841685582
SPT(14)	350164776525748309	0 24 60 94 112 114 138 184 208 210 228 262 298 322	74750318630
STPT(10)	350164784337512099	0 2 42 44 90 92 138 140 180 182	82562082420