Prime p₀= 3014254531172391389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 70 2 130 2 4 2 40 2 76 2 (?)
a_n: 0 2 78 80 150 152 282 284 288 290 330 332 408 410
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: 410
Found by: fzs600
db: batch=82, k=14, 76 70 130 4 40 76

SPT(16)	3014252937255862111	0 42 90 120 132 232 250 258 280 288 306 406 418 448 496 538	-1593916529278
SPT(16)	3014253111701253007	0 10 36 40 54 60 66 70 120 124 130 136 150 154 180 190	-1419471138382
STPT(10)	3014253358932152957	0 2 42 44 72 74 102 104 144 146	-1172240238432
SPT(16)	3014254099580948933	0 86 98 134 140 156 164 206 258 300 308 324 330 366 378 464	-431591442456
STPT(10)	3014254370792851001	0 2 6 8 48 50 90 92 96 98	-160379540388
SPT(16)	3014254408044557147	0 2 32 56 60 72 120 134 162 176 224 236 240 264 294 296	-123127834242
STPT(10)	3014254846036017977	0 2 30 32 42 44 54 56 84 86	314863626588
SPT(16)	3014254908313089761	0 36 66 126 132 140 152 158 210 216 228 236 242 302 332 368	377140698372
SPT(16)	3014254957523011403	0 104 116 158 200 210 246 288 416 458 494 504 546 588 600 704	426350620014
STPT(10)	3014255323879475519	0 2 18 20 30 32 42 44 60 62	792707084130
TPT(14)	3014255655566977571	0 2 36 38 78 80 120 122 126 128 180 182 198 200	1124394586182