Prime p₀= 2961060704449445369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 82 2 64 2 52 2 34 2 (?)
a_n: 0 2 30 32 48 50 132 134 198 200 252 254 288 290
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: 290
Found by: Landjunge
db: batch=82, k=14, 28 16 82 64 52 34

SPT(16)	2961059953990054181	0 6 12 18 90 132 146 192 266 312 326 368 440 446 452 458	-750459391188
SPT(16)	2961059966249913487	0 10 16 40 46 70 82 84 112 114 126 150 156 180 186 196	-738199531882
STPT(10)	2961060549052619267	0 2 42 44 72 74 102 104 144 146	-155396826102
TPT(14)	2961060551978413691	0 2 6 8 30 32 48 50 156 158 210 212 228 230	-152471031678
SPT(16)	2961060629391710327	0 26 32 66 80 110 122 126 170 174 186 216 230 264 270 296	-75057735042
STPT(10)	2961060635790920849	0 2 18 20 30 32 42 44 60 62	-68658524520
SPT(16)	2961060750866672459	0 12 14 74 122 134 168 188 264 284 318 330 378 438 440 452	46417227090
SPT(16)	2961061058149132739	0 14 20 30 48 54 78 80 138 140 164 170 188 198 204 218	353699687370
SPT(16)	2961061462665682351	0 6 10 76 78 108 120 136 180 196 208 238 240 306 310 316	758216236982
SPT(16)	2961061551459815959	0 22 28 60 84 112 150 178 204 232 270 298 322 354 360 382	847010370590
SPT(16)	2961061572979113119	0 8 14 20 90 132 140 150 242 252 260 302 372 378 384 392	868529667750