Prime p₀= 2223980770534448579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 76 2 40 2 76 2 10 2 28 2 (?)
a_n: 0 2 132 134 210 212 252 254 330 332 342 344 372 374
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: 374
Found by: MarkRBright
db: batch=81, k=14, 130 76 40 76 10 28

SPT(16)	2223979945905073289	0 38 42 44 98 104 108 138 164 194 198 204 258 260 264 302	-824629375290
SPT(16)	2223980029567179199	0 42 60 84 154 172 180 210 232 262 270 288 358 382 400 442	-740967269380
STPT(10)	2223980034191858177	0 2 42 44 72 74 102 104 144 146	-736342590402
SPT(16)	2223980081071115417	0 14 32 56 92 110 114 144 152 182 186 204 240 264 282 296	-689463333162
SPT(16)	2223980086192635431	0 6 20 38 62 72 90 92 126 128 146 156 180 198 212 218	-684341813148
STPT(10)	2223980430059411237	0 2 54 56 132 134 210 212 264 266	-340475037342
STPT(10)	2223980856076827899	0 2 42 44 60 62 78 80 120 122	85542379320
SPT(16)	2223981101638092311	0 48 120 138 228 258 260 282 326 348 350 380 470 488 560 608	331103643732
STPT(10)	2223981171009867947	0 2 12 14 42 44 72 74 84 86	400475419368
STPT(10)	2223981429513553781	0 2 30 32 78 80 126 128 156 158	658979105202
SPT(16)	2223981682070152643	0 20 60 80 198 254 270 290 294 314 330 386 504 524 564 584	911535704064