Prime p₀= 2002371681450315629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 148 2 16 2 40 2 58 2 94 2 (?)
a_n: 0 2 42 44 192 194 210 212 252 254 312 314 408 410
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: 410
Found by: Chooka
db: batch=80, k=14, 40 148 16 40 58 94

SPT(16)	2002369240342793209	0 34 90 132 144 172 180 184 198 202 210 238 250 292 348 382	-2441107522420
STPT(10)	2002369271166066557	0 2 42 44 72 74 102 104 144 146	-2410284249072
SPT(16)	2002369856288681839	0 10 12 58 100 102 138 144 148 154 190 192 234 280 282 292	-1825161633790
STPT(10)	2002370672154927551	0 2 36 38 78 80 120 122 156 158	-1009295388078
SPT(16)	2002370983516085093	0 18 38 120 134 140 150 168 200 218 228 234 248 330 350 368	-697934230536
STPT(10)	2002371569591536901	0 2 6 8 18 20 30 32 36 38	-111858778728
SPT(16)	2002371746691150907	0 34 70 90 112 120 172 196 210 234 286 294 316 336 372 406	65240835278
SPT(16)	2002371752263507061	0 26 38 50 66 78 92 108 140 156 170 182 198 210 222 248	70813191432
TPT(14)	2002371804385228061	0 2 36 38 126 128 156 158 186 188 198 200 216 218	122934912432
TPT(14)	2002372057567925957	0 2 12 14 42 44 84 86 90 92 102 104 132 134	376117610328
STPT(10)	2002372059820484291	0 2 30 32 60 62 90 92 120 122	378370168662