Prime p₀= 2273778497372428301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 34 2 10 2 148 2 46 2 (?)
a_n: 0 2 78 80 90 92 126 128 138 140 288 290 336 338
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: 338
Found by: Orange Kid
db: batch=81, k=14, 76 10 34 10 148 46

TPT(16)	2273776790456791469	0 2 12 14 108 110 150 152 288 290 300 302 342 344 348 350	-1706915636832
STPT(10)	2273776797060132149	0 2 30 32 60 62 90 92 120 122	-1700312296152
SPT(16)	2273776864841638327	0 30 52 64 106 114 150 184 252 286 322 330 372 384 406 436	-1632530789974
SPT(16)	2273776930583843089	0 34 42 70 124 144 172 220 252 300 328 348 402 430 438 472	-1566788585212
SPT(18)	2273777967534403529	0 12 14 72 92 114 132 170 174 218 222 260 278 300 320 378 380 392	-529838024772
SPT(16)	2273778471409094609	0 14 18 50 72 84 164 170 192 198 278 290 312 344 348 362	-25963333692
STPT(10)	2273778515406498011	0 2 6 8 18 20 30 32 36 38	18034069710
SPT(16)	2273778625622017793	0 6 38 68 86 96 108 170 234 296 308 318 336 366 398 404	128249589492
SPT(16)	2273778967792983383	0 38 56 68 78 80 110 150 194 234 264 266 276 288 306 344	470420555082
SPT(16)	2273779235856007507	0 6 94 96 102 130 136 160 306 330 336 364 370 372 460 466	738483579206
SPT(13)	2273779538664263521	0 12 42 78 90 132 150 168 210 222 258 288 300	1041291835220