Prime p₀= 236681524998793951 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 28 24 8 66 16 134 16 66 8 24 28 30 (?)
a_n: 0 30 58 82 90 156 172 306 322 388 396 420 448 478
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: 478
Found by: emoga
db: batch=69, k=14, 30 28 24 8 66 16 134

TPT(12)	236681451536448407	0 2 12 14 24 26 60 62 84 86 144 146	-73462345544
SPT(14)	236681459316752641	0 52 66 88 90 102 132 256 286 298 300 322 336 388	-65682041310
SPT(14)	236681490580308871	0 10 42 58 70 82 108 142 168 180 192 208 240 250	-34418485080
SPT(14)	236681498803482583	0 54 64 88 90 96 100 144 148 154 156 180 190 244	-26195311368
SPT(14)	236681504146869319	0 10 52 88 90 102 130 180 208 220 222 258 300 310	-20851924632
SPT(14)	236681506306170467	0 12 26 36 44 86 110 156 180 222 230 240 254 266	-18692623484
SPT(14)	236681539657464917	0 12 26 42 56 66 72 80 86 96 110 126 140 152	14658670966
SPT(14)	236681540714887769	0 8 50 68 98 114 128 144 158 174 204 222 264 272	15716093818
SPT(14)	236681573289609577	0 22 52 96 204 216 232 264 280 292 400 444 474 496	48290815626
TPT(12)	236681575913571911	0 2 66 68 150 152 210 212 246 248 258 260	50914777960
SPT(16)	236681591438914231	0 18 42 52 78 100 108 136 162 190 198 220 246 256 280 298	66440120280