Prime p₀= 2374767572494696787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 130 2 4 2 58 2 40 2 16 2 (?)
a_n: 0 2 72 74 204 206 210 212 270 272 312 314 330 332
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: 332
Found by: Donn Pike (USAF Ret)
db: batch=81, k=14, 70 130 4 58 40 16

STPT(14)	2374765304653358297	0 2 30 32 90 92 102 104 114 116 174 176 204 206	-2267841338490
SPT(16)	2374765454805093589	0 12 42 72 78 114 120 154 198 232 238 274 280 310 340 352	-2117689603198
SPT(16)	2374765556541794509	0 30 90 174 210 220 234 244 294 304 318 328 364 448 508 538	-2015952902278
STPT(10)	2374766608454120891	0 2 6 8 48 50 90 92 96 98	-964040575896
SPT(16)	2374767284586769841	0 6 18 86 116 146 150 168 230 248 252 282 312 380 392 398	-287907926946
TPT(14)	2374767560594814521	0 2 48 50 78 80 90 92 108 110 180 182 210 212	-11899882266
SPT(16)	2374767953064487819	0 4 60 102 124 142 144 202 222 280 282 300 322 364 420 424	380569791032
STPT(10)	2374768597323104831	0 2 30 32 60 62 90 92 120 122	1024828408044
SPT(16)	2374768619762931961	0 10 30 46 52 66 88 136 162 210 232 246 252 268 288 298	1047268235174
STPT(10)	2374768936585360487	0 2 30 32 42 44 54 56 84 86	1364090663700
STPT(10)	2374769161379201729	0 2 18 20 30 32 42 44 60 62	1588884504942