Prime p₀= 2529448029738092147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 82 2 4 2 28 2 10 2 (?)
a_n: 0 2 42 44 60 62 144 146 150 152 180 182 192 194
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: 194
Found by: Hightower
db: batch=82, k=14, 40 16 82 4 28 10

STPT(10)	2529447365705189957	0 2 30 32 42 44 54 56 84 86	-664032902190
SPT(16)	2529447452371776247	0 10 12 16 24 72 76 82 84 90 94 142 150 154 156 166	-577366315900
TPT(14)	2529447486553116209	0 2 42 44 78 80 132 134 150 152 168 170 222 224	-543184975938
STPT(10)	2529447486553116287	0 2 54 56 72 74 90 92 144 146	-543184975860
STPT(10)	2529447664633988177	0 2 60 62 102 104 144 146 204 206	-365104103970
SPT(16)	2529447767805349711	0 6 22 28 40 126 136 138 160 162 172 258 270 276 292 298	-261932742436
SPT(16)	2529448366563983609	0 44 78 90 114 120 128 140 198 210 218 224 248 260 294 338	336825891462
SPT(16)	2529448415476775027	0 14 44 86 102 132 170 174 182 186 224 254 270 312 342 356	385738682880
STPT(10)	2529448426821817481	0 2 30 32 78 80 126 128 156 158	397083725334
TPT(14)	2529448464721783151	0 2 66 68 150 152 180 182 330 332 420 422 450 452	434983691004
STPT(10)	2529448507585670687	0 2 84 86 162 164 240 242 324 326	477847578540