Prime p₀= 2882091982589318069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 106 2 46 2 10 2 16 2 (?)
a_n: 0 2 60 62 72 74 180 182 228 230 240 242 258 260
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: 260
Found by: Landjunge
db: batch=82, k=14, 58 10 106 46 10 16

SPT(16)	2882091112883450383	0 4 16 58 126 270 276 300 304 328 334 478 546 588 600 604	-869705867686
STPT(10)	2882091254172777377	0 2 12 14 132 134 252 254 264 266	-728416540692
SPT(16)	2882091321847468361	0 8 36 72 92 96 120 126 152 158 182 186 206 242 270 278	-660741849708
SPT(16)	2882091473631136457	0 42 54 80 92 96 104 132 224 252 260 264 276 302 314 356	-508958181612
STPT(10)	2882091622536410069	0 2 78 80 120 122 162 164 240 242	-360052908000
TPT(14)	2882091935118035207	0 2 192 194 240 242 330 332 390 392 432 434 474 476	-47471282862
SPT(16)	2882092024945228367	0 32 42 60 72 114 164 194 240 270 320 362 374 392 402 434	42355910298
TPT(14)	2882092524031612271	0 2 90 92 186 188 198 200 210 212 240 242 246 248	541442294202
SPT(16)	2882092600998431357	0 12 14 26 32 56 60 96 110 146 150 174 180 192 194 206	618409113288
STPT(10)	2882092703121137291	0 2 36 38 78 80 120 122 156 158	720531819222
STPT(10)	2882092813234623839	0 2 12 14 90 92 168 170 180 182	830645305770