Prime p₀= 125108155545932113 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 18 10 12 2 6 4 6 2 12 10 18 18 (?)
a_n: 0 18 36 46 58 60 66 70 76 78 90 100 118 136
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: 136
Found by: Soulfly
db: batch=67, k=14, 18 18 10 12 2 6 4

SPT(16)	125108087779686481	0 22 42 60 78 82 120 130 348 358 396 400 418 436 456 478	-67766245632
SPT(16)	125108093061846071	0 6 20 36 38 42 50 60 188 198 206 210 212 228 242 248	-62484086042
TPT(12)	125108106487659479	0 2 18 20 60 62 240 242 270 272 288 290	-49058272634
SPT(14)	125108125381526467	0 22 36 52 60 82 120 136 174 196 204 220 234 256	-30164405646
SPT(14)	125108131324171823	0 6 14 24 60 66 78 146 158 164 200 210 218 224	-24221760290
SPT(14)	125108145469409029	0 42 82 90 100 118 160 180 222 240 250 258 298 340	-10076523084
SPT(14)	125108169565591579	0 28 30 52 78 94 100 162 168 184 210 232 234 262	14019659466
TPT(12)	125108177307265907	0 2 42 44 234 236 240 242 264 266 282 284	21761333794
SPT(14)	125108210423365171	0 18 28 46 48 90 112 126 148 190 192 210 220 238	54877433058
SPT(14)	125108218686329357	0 12 24 30 42 50 66 140 156 164 176 182 194 206	63140397244
SPT(14)	125108221578603803	0 24 26 56 60 68 80 114 126 134 138 168 170 194	66032671690