Prime p₀= 408617285164157309 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 24 12 6 24 10 74 10 24 6 12 24 8 (?)
a_n: 0 8 32 44 50 74 84 158 168 192 198 210 234 242
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: 242
Found by: Cruncher Pete
db: batch=70, k=14, 8 24 12 6 24 10 74

SPT(14)	408617205601804081	0 78 130 136 150 156 208 210 262 268 282 288 340 418	-79562353228
SPT(14)	408617228763853547	0 6 26 32 44 96 152 174 230 282 294 300 320 326	-56400303762
SPT(14)	408617243305717001	0 12 78 90 98 128 180 248 300 330 338 350 416 428	-41858440308
SPT(14)	408617255030979433	0 40 60 66 70 106 108 148 150 186 190 196 216 256	-30133177876
TPT(12)	408617263541577941	0 2 270 272 336 338 426 428 516 518 576 578	-21622579368
SPT(14)	408617266539693863	0 38 78 80 156 158 198 248 288 290 366 368 408 446	-18624463446
SPT(14)	408617297314329529	0 12 54 72 82 90 100 324 334 342 352 370 412 424	12150172220
TPT(12)	408617304396336221	0 2 6 8 18 20 90 92 138 140 258 260	19232178912
SPT(14)	408617307092729381	0 8 30 66 86 96 98 150 152 162 182 218 240 248	21928572072
SPT(14)	408617311290726191	0 20 38 56 66 90 92 96 98 122 132 150 168 188	26126568882
SPT(14)	408617315948164459	0 34 78 82 100 118 142 180 204 222 240 244 288 322	30784007150