Prime p₀= 1967894370115464779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 4 2 22 2 58 2 28 2 (?)
a_n: 0 2 30 32 42 44 48 50 72 74 132 134 162 164
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: 164
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 28 10 4 22 58 28

SPT(16)	1967892443492398793	0 30 38 56 66 108 140 168 236 264 296 338 348 366 374 404	-1926623065986
STPT(10)	1967892744419933129	0 2 42 44 120 122 198 200 240 242	-1625695531650
SPT(16)	1967893107245788979	0 14 48 50 54 128 168 174 224 230 270 344 348 350 384 398	-1262869675800
SPT(16)	1967893400844360007	0 12 22 42 76 90 124 130 156 162 196 210 244 264 274 286	-969271104772
SPT(16)	1967893638141922853	0 26 38 66 74 96 110 138 206 234 248 270 278 306 318 344	-731973541926
SPT(16)	1967894288719745203	0 10 48 70 126 136 174 198 256 280 318 328 384 406 444 454	-81395719576
SPT(16)	1967894436980883001	0 6 12 16 28 52 66 70 78 82 96 120 132 136 142 148	66865418222
SPT(16)	1967894670048820327	0 12 16 70 94 180 240 250 276 286 346 432 456 510 514 526	299933355548
SPT(16)	1967894854734179807	0 2 14 20 60 72 102 116 270 284 314 326 366 372 384 386	484618715028
STPT(10)	1967894874820881827	0 2 60 62 72 74 84 86 144 146	504705417048
STPT(12)	1967894961694922957	0 2 12 14 30 32 72 74 90 92 102 104	591579458178