Prime p₀= 2733510901105188647 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 106 2 10 2 46 2 40 2 (?)
a_n: 0 2 120 122 132 134 240 242 252 254 300 302 342 344
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: 344
Found by: fzs600
db: batch=82, k=14, 118 10 106 10 46 40

SPT(16)	2733508017293514701	0 6 30 38 62 78 102 108 140 146 170 186 210 218 242 248	-2883811673946
STPT(10)	2733508118134189337	0 2 30 32 42 44 54 56 84 86	-2782970999310
SPT(16)	2733508294876857181	0 28 40 52 66 78 132 136 162 166 220 232 246 258 270 298	-2606228331466
SPT(16)	2733508422914848913	0 8 36 50 66 78 116 180 206 270 308 320 336 350 378 386	-2478190339734
SPT(16)	2733509318045540543	0 6 18 66 78 90 98 120 146 168 176 188 200 248 260 266	-1583059648104
SPT(16)	2733510716105357029	0 4 18 78 118 154 168 178 210 220 234 270 310 370 384 388	-184999831618
SPT(16)	2733511199916192569	0 14 32 54 98 108 110 144 188 222 224 234 278 300 318 332	298811003922
SPT(16)	2733511340521456037	0 2 140 170 182 210 222 252 314 344 356 384 396 426 564 566	439416267390
STPT(10)	2733511539612984017	0 2 24 26 42 44 60 62 84 86	638507795370
SPT(16)	2733511579424214569	0 24 32 68 80 92 140 168 194 222 270 282 294 330 338 362	678319025922
STPT(10)	2733511623844572677	0 2 30 32 42 44 54 56 84 86	722739384030