Prime p₀= 946335814695585401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 22 2 16 2 130 2 34 2 40 2 (?)
a_n: 0 2 126 128 150 152 168 170 300 302 336 338 378 380
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]FX
db: batch=76, k=14, 124 22 16 130 34 40

SPT(16)	946334982653990621	0 32 150 198 212 222 258 290 300 332 368 378 392 440 558 590	-832041594780
STPT(10)	946334993256156599	0 2 18 20 30 32 42 44 60 62	-821439428802
TPT(14)	946335022357570631	0 2 36 38 126 128 156 158 186 188 216 218 240 242	-792338014770
SPT(16)	946335449817795217	0 6 34 36 60 94 96 120 136 160 162 196 220 222 250 256	-364877790184
SPT(16)	946335654346359113	0 84 104 110 114 116 174 258 266 350 408 410 414 420 440 524	-160349226288
SPT(16)	946335803372491201	0 42 52 70 106 120 126 132 190 196 202 216 252 270 280 322	-11323094200
SPT(18)	946336198638713777	0 32 42 56 60 66 102 152 200 306 354 404 440 446 450 464 474 506	383943128376
SPT(16)	946336346780795857	0 22 24 66 76 96 124 126 160 162 190 210 220 262 264 286	532085210456
SPT(16)	946336920427100053	0 4 36 54 88 124 144 166 168 190 210 246 280 298 330 334	1105731514652
SPT(16)	946337189963119037	0 2 20 42 62 66 146 174 272 300 380 384 404 426 444 446	1375267533636
STPT(10)	946337283626649581	0 2 6 8 18 20 30 32 36 38	1468931064180