Prime p₀= 3455178582651689627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 136 2 70 2 58 2 34 2 (?)
a_n: 0 2 30 32 54 56 192 194 264 266 324 326 360 362
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: 362
Found by: [SG-2W]Kurzer
db: batch=83, k=14, 28 22 136 70 58 34

STPT(14)	3455177277118726931	0 2 30 32 36 38 78 80 120 122 126 128 156 158	-1305532962696
TPT(16)	3455177277118726931	0 2 30 32 36 38 78 80 120 122 126 128 156 158 168 170	-1305532962696
STPT(12)	3455177451853407767	0 2 12 14 90 92 132 134 210 212 222 224	-1130798281860
SPT(16)	3455177486102304203	0 14 30 50 128 174 176 198 236 258 260 306 384 404 420 434	-1096549385424
SPT(16)	3455178194164721561	0 26 32 56 80 110 132 140 318 326 348 378 402 426 432 458	-388486968066
STPT(10)	3455178301090465919	0 2 12 14 30 32 48 50 60 62	-281561223708
STPT(10)	3455178770287224191	0 2 30 32 78 80 126 128 156 158	187635534564
SPT(16)	3455178924876813461	0 6 26 38 42 48 60 68 90 98 110 116 120 132 152 158	342225123834
STPT(10)	3455179286163970367	0 2 30 32 60 62 90 92 120 122	703512280740
TPT(14)	3455179309111313207	0 2 54 56 114 116 132 134 144 146 282 284 294 296	726459623580
SPT(16)	3455179376553330721	0 12 22 28 58 78 126 130 138 142 190 210 240 246 256 268	793901641094