Prime p₀= 341476435311357631 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 48 40 14 18 28 20 4 20 28 18 14 40 48 (?)
a_n: 0 48 88 102 120 148 168 172 192 220 238 252 292 340
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: 340
Found by: Cruncher Pete
db: batch=70, k=14, 48 40 14 18 28 20 4

SPT(14)	341476353287909969	0 30 42 108 134 182 198 224 240 288 314 380 392 422	-82023447662
SPT(14)	341476374413147257	0 16 60 70 82 84 102 154 172 174 186 196 240 256	-60898210374
TPT(12)	341476376736549737	0 2 12 14 90 92 102 104 114 116 180 182	-58574807894
SPT(14)	341476395579710509	0 10 28 48 70 100 112 138 150 180 202 222 240 250	-39731647122
SPT(14)	341476415674804181	0 2 36 38 50 56 62 66 72 78 90 92 126 128	-19636553450
SPT(14)	341476433221095779	0 32 48 78 98 102 104 138 140 144 164 194 210 242	-2090261852
SPT(14)	341476485513057617	0 20 32 56 72 84 86 90 92 104 120 144 156 176	50201699986
SPT(14)	341476561815373889	0 2 80 92 168 198 260 402 464 494 570 582 660 662	126504016258
SPT(14)	341476562768945819	0 14 98 108 158 234 252 260 278 354 404 414 498 512	127457588188
TPT(12)	341476564388884151	0 2 36 38 78 80 108 110 120 122 126 128	129077526520
SPT(16)	341476568186851369	0 4 30 82 172 174 202 244 348 390 418 420 510 562 588 592	132875493738