Prime p₀= 1944291774932521541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 76 2 28 2 46 2 22 2 (?)
a_n: 0 2 48 50 90 92 168 170 198 200 246 248 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 46 40 76 28 46 22

SPT(16)	1944289427948573221	0 22 28 42 96 106 132 196 222 286 312 322 376 390 396 418	-2346983948320
STPT(10)	1944290007025936259	0 2 18 20 30 32 42 44 60 62	-1767906585282
SPT(16)	1944291408317752517	0 6 14 36 44 50 66 102 104 140 156 162 170 192 200 206	-366614769024
SPT(16)	1944291546977178323	0 36 80 108 134 158 240 294 320 374 456 480 506 534 578 614	-227955343218
SPT(18)	1944291566273291189	0 42 80 162 170 192 204 234 240 272 278 308 320 342 350 432 470 512	-208659230352
SPT(16)	1944291662207585213	0 6 14 26 66 84 138 150 164 176 230 248 288 300 308 314	-112724936328
STPT(10)	1944292507718358839	0 2 18 20 30 32 42 44 60 62	732785837298
TPT(14)	1944293042902942517	0 2 30 32 120 122 162 164 294 296 324 326 450 452	1267970420976
SPT(16)	1944293264945364913	0 28 30 40 54 94 144 180 298 334 384 424 438 448 450 478	1490012843372
SPT(16)	1944293315228270779	0 10 40 48 54 84 114 132 160 178 208 238 244 252 282 292	1540295749238
STPT(10)	1944293423385260291	0 2 36 38 78 80 120 122 156 158	1648452738750