Prime p₀= 4123159811086741697 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 22 2 4 2 10 2 10 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 42 44 54 56 60 62 84 86
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: 86
Found by: mmonnin
db: batch=85, k=14, 2 22 2 4 2 10 2

SPT(16)	4123157164748005123	0 6 48 76 108 120 130 150 256 276 286 298 330 358 400 406	-2646338736574
SPT(16)	4123157838040430681	0 30 48 78 120 176 186 198 218 230 240 296 338 368 386 416	-1973046311016
TPT(14)	4123157862385528469	0 2 18 20 42 44 150 152 198 200 318 320 402 404	-1948701213228
SPT(16)	4123158270681863141	0 42 56 98 108 120 192 218 270 296 368 380 390 432 446 488	-1540404878556
SPT(16)	4123158621238565723	0 8 14 44 66 86 114 126 128 140 168 188 210 240 246 254	-1189848175974
TPT(14)	4123159570291683461	0 2 138 140 168 170 210 212 246 248 288 290 330 332	-240795058236
TPT(14)	4123159811086741697	0 2 24 26 30 32 42 44 54 56 60 62 84 86	0
STPT(12)	4123159983392090789	0 2 12 14 42 44 78 80 108 110 120 122	172305349092
STPT(10)	4123159995147318701	0 2 36 38 78 80 120 122 156 158	184060577004
SPT(16)	4123160139197944657	0 42 54 64 82 120 142 154 222 234 256 294 312 322 334 376	328111202960
SPT(16)	4123160281531901419	0 10 18 24 34 40 54 84 88 118 132 138 148 154 162 172	470445159722