Prime p₀= 2164934739646420661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 58 2 28 2 22 2 58 2 118 2 (?)
a_n: 0 2 36 38 96 98 126 128 150 152 210 212 330 332
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: 332
Found by: Landjunge
db: batch=81, k=14, 34 58 28 22 58 118

SPT(16)	2164933994865626189	0 20 30 32 164 192 210 242 282 314 332 360 492 494 504 524	-744780794472
SPT(16)	2164934034553692799	0 18 48 70 88 144 150 160 222 232 238 294 312 334 364 382	-705092727862
SPT(16)	2164934042616042193	0 30 70 108 144 156 178 184 210 216 238 250 286 324 364 394	-697030378468
SPT(16)	2164934094634342799	0 84 110 138 152 158 204 218 234 248 294 300 314 342 368 452	-645012077862
STPT(10)	2164934392732094981	0 2 6 8 48 50 90 92 96 98	-346914325680
SPT(16)	2164934414019334901	0 42 48 56 128 132 152 168 170 186 206 210 282 290 296 338	-325627085760
SPT(16)	2164935343684663663	0 78 84 94 114 124 136 150 154 168 180 190 210 220 226 304	604038243002
SPT(16)	2164935364211892917	0 56 86 110 126 150 182 186 260 264 296 320 336 360 390 446	624565472256
SPT(16)	2164936001935416071	0 20 42 68 110 120 146 150 218 222 248 258 300 326 348 368	1262288995410
STPT(10)	2164936171067207147	0 2 30 32 42 44 54 56 84 86	1431420786486
STPT(10)	2164936297488543779	0 2 48 50 90 92 132 134 180 182	1557842123118