Prime p₀= 2075449013998933541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 28 2 136 2 118 2 40 2 (?)
a_n: 0 2 36 38 48 50 78 80 216 218 336 338 378 380
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: 380
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 34 10 28 136 118 40

SPT(13)	2075447735085894661	0 30 42 60 72 120 156 192 240 252 270 282 312	-1278913038880
SPT(16)	2075447825623810997	0 2 30 36 42 50 74 80 126 132 156 164 170 176 204 206	-1188375122544
SPT(18)	2075448211226365373	0 14 54 68 116 138 170 194 206 258 270 294 326 348 396 410 450 464	-802772568168
STPT(12)	2075448390484129847	0 2 42 44 90 92 132 134 180 182 222 224	-623514803694
SPT(16)	2075448416287917347	0 14 20 26 36 84 96 120 206 230 242 290 300 306 312 326	-597711016194
SPT(16)	2075448761508661879	0 18 30 112 132 138 174 198 214 238 274 280 300 382 394 412	-252490271662
SPT(16)	2075449172187806189	0 20 24 54 62 98 152 224 228 300 354 390 398 428 432 452	158188872648
TPT(14)	2075449478173876499	0 2 48 50 78 80 90 92 120 122 270 272 288 290	464174942958
SPT(16)	2075449693228666063	0 24 30 36 70 124 130 144 190 204 210 264 298 304 310 334	679229732522
TPT(14)	2075450903341645787	0 2 24 26 42 44 114 116 144 146 150 152 180 182	1889342712246
SPT(16)	2075450905327495237	0 24 72 84 100 114 174 216 220 262 322 336 352 364 412 436	1891328561696