Prime p₀= 2103329171290400267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 88 2 148 2 4 2 22 2 16 2 (?)
a_n: 0 2 54 56 144 146 294 296 300 302 324 326 342 344
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: 344
Found by: Dingo
db: batch=80, k=14, 52 88 148 4 22 16

STPT(10)	2103327748685873597	0 2 24 26 42 44 60 62 84 86	-1422604526670
TPT(14)	2103328094146219349	0 2 162 164 180 182 192 194 210 212 222 224 342 344	-1077144180918
SPT(16)	2103328283702986357	0 10 24 40 64 120 132 136 150 154 166 222 246 262 276 286	-887587413910
SPT(16)	2103328429648030301	0 2 8 26 30 140 162 198 230 266 288 398 402 420 426 428	-741642369966
STPT(10)	2103328436789540027	0 2 12 14 72 74 132 134 144 146	-734500860240
SPT(16)	2103328900687657369	0 4 24 42 58 70 88 168 244 324 342 354 370 388 408 412	-270602742898
STPT(10)	2103329674066996391	0 2 30 32 78 80 126 128 156 158	502776596124
STPT(10)	2103329843094711071	0 2 36 38 78 80 120 122 156 158	671804310804
SPT(16)	2103329939506866071	0 42 66 72 80 96 110 152 156 198 212 228 236 242 266 308	768216465804
SPT(16)	2103330097185813299	0 24 38 44 62 68 74 102 110 138 144 150 168 174 188 212	925895413032
STPT(10)	2103330718054499387	0 2 24 26 42 44 60 62 84 86	1546764099120