Prime p₀= 3455179309111313207 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 58 2 16 2 10 2 136 2 10 2 (?)
a_n: 0 2 54 56 114 116 132 134 144 146 282 284 294 296
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: 296
Found by: [SG-2W]Kurzer
db: batch=83, k=14, 52 58 16 10 136 10

SPT(16)	3455178194164721561	0 26 32 56 80 110 132 140 318 326 348 378 402 426 432 458	-1114946591646
STPT(10)	3455178301090465919	0 2 12 14 30 32 48 50 60 62	-1008020847288
TPT(14)	3455178582651689627	0 2 30 32 54 56 192 194 264 266 324 326 360 362	-726459623580
STPT(10)	3455178770287224191	0 2 30 32 78 80 126 128 156 158	-538824089016
SPT(16)	3455178924876813461	0 6 26 38 42 48 60 68 90 98 110 116 120 132 152 158	-384234499746
STPT(10)	3455179286163970367	0 2 30 32 60 62 90 92 120 122	-22947342840
SPT(16)	3455179376553330721	0 12 22 28 58 78 126 130 138 142 190 210 240 246 256 268	67442017514
STPT(10)	3455179462843273349	0 2 18 20 30 32 42 44 60 62	153731960142
STPT(10)	3455179927474076699	0 2 18 20 30 32 42 44 60 62	618362763492
SPT(16)	3455180569828985659	0 12 30 114 142 162 168 184 228 244 250 270 298 382 400 412	1260717672452
SPT(16)	3455180605754495699	0 32 50 60 138 158 180 198 224 242 264 284 362 372 390 422	1296643182492