Prime p₀= 957413635961804519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 82 2 58 2 34 2 82 2 16 2 (?)
a_n: 0 2 108 110 192 194 252 254 288 290 372 374 390 392
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: 392
Found by: Theadalus
db: batch=76, k=14, 106 82 58 34 82 16

SPT(16)	957412468873519361	0 8 20 30 92 132 138 152 156 170 176 216 278 288 300 308	-1167088285158
SPT(16)	957412587028351799	0 30 78 90 98 104 140 158 174 192 228 234 242 254 302 332	-1048933452720
STPT(12)	957412752570367019	0 2 12 14 42 44 78 80 108 110 120 122	-883391437500
SPT(16)	957413464294439323	0 28 30 40 94 106 108 120 184 196 198 210 264 274 276 304	-171667365196
STPT(10)	957413535364811981	0 2 30 32 78 80 126 128 156 158	-100596992538
SPT(20)	957413605473984223	0 24 48 78 88 144 190 214 220 250 258 288 294 318 364 420 430 460 484 508	-30487820296
SPT(16)	957413802302447141	0 80 92 116 170 176 198 210 278 290 312 318 372 396 408 488	166340642622
SPT(16)	957414134166804719	0 18 32 60 182 252 264 290 342 368 380 450 572 600 614 632	498205000200
SPT(16)	957414213316292759	0 2 20 24 54 60 68 104 108 144 152 158 188 192 210 212	577354488240
SPT(16)	957414386410753291	0 12 16 42 88 100 102 126 142 166 168 180 226 252 256 268	750448948772
SPT(16)	957414563427488303	0 8 18 44 54 86 98 126 128 156 168 200 210 236 246 254	927465683784