Prime p₀= 1176208038331220729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 124 2 28 2 10 2 40 2 16 2 (?)
a_n: 0 2 72 74 198 200 228 230 240 242 282 284 300 302
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: 302
Found by: xii5ku
db: batch=77, k=14, 70 124 28 10 40 16

SPT(16)	1176207234651852181	0 28 52 72 126 132 186 190 198 202 256 262 316 336 360 388	-803679368548
SPT(20)	1176207301537840499	0 30 54 92 102 152 182 212 218 230 252 264 270 300 330 380 390 428 452 482	-736793380230
SPT(16)	1176207373543225853	0 20 26 60 78 140 146 186 218 258 264 326 344 378 384 404	-664787994876
SPT(16)	1176207439477431623	0 6 30 36 56 140 150 168 338 356 366 450 470 476 500 506	-598853789106
SPT(16)	1176207459884062973	0 24 86 134 170 204 224 234 236 246 266 300 336 384 446 470	-578447157756
SPT(16)	1176207731312241769	0 10 22 30 100 142 154 172 330 348 360 402 472 480 492 502	-307018978960
SPT(16)	1176208576345222997	0 20 30 42 56 80 146 150 152 156 222 246 260 272 282 302	538014002268
TPT(14)	1176208907634035447	0 2 30 32 84 86 132 134 210 212 264 266 342 344	869302814718
STPT(10)	1176208952256520079	0 2 18 20 30 32 42 44 60 62	913925299350
SPT(16)	1176208971083944241	0 2 6 48 78 90 120 122 306 308 338 350 380 422 426 428	932752723512
SPT(16)	1176209146577244511	0 30 36 40 46 96 106 130 138 162 172 222 228 232 238 268	1108246023782