Prime p₀= 976612237116590771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 46 2 28 2 16 2 22 2 (?)
a_n: 0 2 6 8 90 92 138 140 168 170 186 188 210 212
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: 212
Found by: Theadalus
db: batch=76, k=14, 4 82 46 28 16 22

STPT(10)	976611570232957499	0 2 78 80 120 122 162 164 240 242	-666883633272
STPT(10)	976611766076383637	0 2 12 14 72 74 132 134 144 146	-471040207134
STPT(10)	976611922950067499	0 2 18 20 30 32 42 44 60 62	-314166523272
SPT(18)	976612179005813347	0 22 40 46 60 72 76 100 112 174 186 210 214 226 240 246 264 286	-58110777424
TPT(14)	976612184126182739	0 2 42 44 48 50 78 80 90 92 168 170 312 314	-52990408032
SPT(16)	976612219505691157	0 12 46 64 70 124 142 160 336 354 372 426 432 450 484 496	-17610899614
STPT(10)	976612259843533679	0 2 42 44 60 62 78 80 120 122	22726942908
STPT(10)	976612309710199829	0 2 42 44 60 62 78 80 120 122	72593609058
SPT(16)	976612316903363293	0 10 40 48 66 70 138 154 180 196 264 268 286 294 324 334	79786772522
SPT(16)	976612542017779963	0 4 10 48 58 64 76 118 186 228 240 246 256 294 300 304	304901189192
SPT(16)	976613008426236413	0 8 68 78 110 144 170 180 224 234 260 294 326 336 396 404	771309645642