Prime p₀= 125102196585483977 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 26 28 36 18 32 4 32 18 36 28 26 6 (?)
a_n: 0 6 32 60 96 114 146 150 182 200 236 264 290 296
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: 296
Found by: mcf2020
db: batch=67, k=14, 6 26 28 36 18 32 4

SPT(14)	125102071500209203	0 4 46 54 58 66 70 294 298 306 310 318 360 364	-125085274774
STPT(10)	125102072908196999	0 2 18 20 30 32 42 44 60 62	-123677286978
TPT(12)	125102083069648019	0 2 30 32 102 104 108 110 150 152 240 242	-113515835958
SPT(14)	125102092334033599	0 12 22 30 52 64 144 148 228 240 262 270 280 292	-104251450378
SPT(14)	125102178749755957	0 22 40 52 54 60 70 96 106 112 114 126 144 166	-17835728020
SPT(14)	125102195852869219	0 22 24 34 112 118 144 178 204 210 288 298 300 322	-732614758
SPT(14)	125102199187637647	0 22 30 34 70 72 84 100 112 114 150 154 162 184	2602153670
SPT(14)	125102252772309047	0 20 36 50 72 126 174 182 230 284 306 320 336 356	56186825070
SPT(16)	125102257359098779	0 42 60 78 82 118 172 222 238 288 342 378 382 400 418 460	60773614802
TPT(12)	125102262308492471	0 2 6 8 30 32 36 38 60 62 78 80	65723008494
SPT(14)	125102295052498261	0 42 58 66 72 102 108 130 136 166 172 180 196 238	98467014284