Prime p₀= 3670406694016920521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 4 2 10 2 178 2 28 2 10 2 (?)
a_n: 0 2 180 182 186 188 198 200 378 380 408 410 420 422
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: 422
Found by: TankbusterGames
db: batch=84, k=14, 178 4 10 178 28 10

STPT(10)	3670404750634897799	0 2 18 20 30 32 42 44 60 62	-1943382022722
SPT(16)	3670405143429351017	0 20 56 120 152 176 242 264 272 294 360 384 416 480 516 536	-1550587569504
SPT(16)	3670405145347984207	0 90 94 126 154 156 160 184 192 216 220 222 250 282 286 376	-1548668936314
SPT(16)	3670405368563823349	0 12 40 42 52 54 64 84 88 108 118 120 130 132 160 172	-1325453097172
SPT(16)	3670405446075964639	0 58 102 130 148 172 180 222 238 280 288 312 330 358 402 460	-1247940955882
STPT(10)	3670406555418970721	0 2 6 8 48 50 90 92 96 98	-138597949800
STPT(10)	3670406785698267911	0 2 6 8 18 20 30 32 36 38	91681347390
STPT(10)	3670406923137766697	0 2 12 14 42 44 72 74 84 86	229120846176
SPT(16)	3670407318426433447	0 4 46 64 106 126 142 244 282 384 400 420 462 480 522 526	624409512926
TPT(14)	3670407327612085649	0 2 42 44 78 80 120 122 162 164 198 200 240 242	633595165128
STPT(14)	3670407327612085649	0 2 42 44 78 80 120 122 162 164 198 200 240 242	633595165128