Prime p₀= 2610304965218775287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 34 2 88 2 148 2 22 2 28 2 (?)
a_n: 0 2 114 116 150 152 240 242 390 392 414 416 444 446
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: 446
Found by: biodoc
db: batch=82, k=14, 112 34 88 148 22 28

SPT(16)	2610303732236867747	0 2 6 12 42 44 90 110 276 296 342 344 374 380 384 386	-1232981907540
SPT(16)	2610304048607858111	0 38 48 56 62 78 90 132 176 218 230 246 252 260 270 308	-916610917176
SPT(16)	2610304275357209923	0 4 6 46 48 118 144 160 204 220 246 316 318 358 360 364	-689861565364
SPT(16)	2610304498040462827	0 16 22 60 130 136 142 226 240 324 330 336 406 444 450 466	-467178312460
STPT(10)	2610304611444332849	0 2 12 14 90 92 168 170 180 182	-353774442438
SPT(18)	2610304781404489577	0 2 42 66 72 80 84 102 176 240 314 332 336 344 350 374 414 416	-183814285710
SPT(16)	2610305002726065737	0 2 30 60 80 110 140 144 302 306 336 366 386 416 444 446	37507290450
TPT(14)	2610305398089989177	0 2 30 32 84 86 90 92 144 146 180 182 222 224	432871213890
STPT(10)	2610305804906584427	0 2 30 32 42 44 54 56 84 86	839687809140
SPT(16)	2610305828121824353	0 10 30 66 78 96 114 126 148 160 178 196 208 244 264 274	862903049066
SPT(16)	2610305937867166129	0 24 30 34 48 70 82 114 178 210 222 244 258 262 268 292	972648390842