Prime p₀= 2339751177750429761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 16 2 16 2 10 2 (?)
a_n: 0 2 36 38 48 50 90 92 108 110 126 128 138 140
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: 140
Found by: Landjunge
db: batch=81, k=14, 34 10 40 16 16 10

SPT(16)	2339750549899003393	0 10 28 54 76 106 120 124 300 304 318 348 370 396 414 424	-627851426368
STPT(10)	2339750593895045129	0 2 78 80 120 122 162 164 240 242	-583855384632
SPT(16)	2339750614093875341	0 42 56 60 66 170 186 218 240 272 288 392 398 402 416 458	-563656554420
SPT(16)	2339750691668399687	0 12 30 54 56 80 116 122 144 150 186 210 212 236 254 266	-486082030074
SPT(16)	2339750724565218683	0 14 24 26 38 50 60 158 186 284 294 306 318 320 330 344	-453185211078
SPT(16)	2339751050269049323	0 130 148 156 174 190 196 216 238 258 264 280 298 306 324 454	-127481380438
SPT(16)	2339751223710467107	0 6 36 46 66 112 160 162 244 246 294 340 360 370 400 406	45960037346
SPT(16)	2339751277294908641	0 38 48 80 132 140 156 168 170 182 198 206 258 290 300 338	99544478880
SPT(16)	2339751424563226747	0 6 76 82 100 106 132 154 162 184 210 216 234 240 310 316	246812796986
STPT(10)	2339752152075975149	0 2 42 44 60 62 78 80 120 122	974325545388
STPT(10)	2339752373045472137	0 2 30 32 42 44 54 56 84 86	1195295042376