Prime p₀= 974663378532973901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 4 2 28 2 28 2 22 2 34 2 (?)
a_n: 0 2 120 122 126 128 156 158 186 188 210 212 246 248
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: 248
Found by: Spectrum
db: batch=76, k=14, 118 4 28 28 22 34

TPT(14)	974662094209675847	0 2 24 26 42 44 84 86 174 176 180 182 252 254	-1284323298054
SPT(16)	974662334495492431	0 40 42 48 76 78 96 132 196 232 250 252 280 286 288 328	-1044037481470
SPT(16)	974662550805815681	0 36 42 80 146 150 192 200 252 260 302 306 372 410 416 452	-827727158220
SPT(16)	974662932099761209	0 28 34 42 48 60 82 132 160 210 232 244 250 258 264 292	-446433212692
STPT(10)	974662938220658381	0 2 30 32 60 62 90 92 120 122	-440312315520
SPT(16)	974663009379976009	0 10 70 78 100 108 168 190 192 214 274 282 304 312 372 382	-369152997892
STPT(10)	974663442314030639	0 2 18 20 30 32 42 44 60 62	63781056738
SPT(16)	974663969840715013	0 18 30 48 84 90 100 198 256 354 364 370 406 424 436 454	591307741112
SPT(16)	974664436661589283	0 10 30 54 58 100 154 156 178 180 234 276 280 304 324 334	1058128615382
TPT(14)	974665032494121509	0 2 30 32 72 74 78 80 90 92 132 134 168 170	1653961147608
SPT(16)	974665206528709781	0 12 50 68 78 108 138 152 276 290 320 350 360 378 416 428	1827995735880