Prime p₀= 3086306434109297129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 16 2 58 2 46 2 58 2 (?)
a_n: 0 2 90 92 132 134 150 152 210 212 258 260 318 320
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: 320
Found by: JayPi
db: batch=83, k=14, 88 40 16 58 46 58

SPT(18)	3086304946467164893	0 30 58 64 76 94 100 108 130 174 196 204 210 228 240 246 274 304	-1487642132236
SPT(16)	3086305322120481361	0 40 82 88 90 102 112 148 192 228 238 250 252 258 300 340	-1111988815768
SPT(16)	3086305485924950407	0 16 24 34 60 70 100 114 172 186 216 226 252 262 270 286	-948184346722
SPT(16)	3086305765831406387	0 26 42 54 80 104 110 120 266 276 282 306 332 344 360 386	-668277890742
STPT(10)	3086305909571237279	0 2 12 14 90 92 168 170 180 182	-524538059850
STPT(10)	3086306216799835187	0 2 12 14 72 74 132 134 144 146	-217309461942
TPT(14)	3086306475727245011	0 2 36 38 126 128 150 152 168 170 216 218 246 248	41617947882
STPT(12)	3086306661917447909	0 2 42 44 120 122 132 134 210 212 252 254	227808150780
SPT(16)	3086307059758947487	0 4 40 72 124 154 190 196 240 246 282 312 364 396 432 436	625649650358
STPT(10)	3086307066570847967	0 2 12 14 42 44 72 74 84 86	632461550838
SPT(16)	3086307175217346461	0 38 56 78 80 86 206 240 266 300 420 426 428 450 468 506	741108049332