Prime p₀= 1719537659848023779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 28 2 82 2 16 2 40 2 (?)
a_n: 0 2 12 14 78 80 108 110 192 194 210 212 252 254
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: 254
Found by: [AF>Libristes] Dudumomo
db: batch=79, k=14, 10 64 28 82 16 40

SPT(16)	1719536848258923061	0 42 70 78 96 112 156 162 166 172 216 232 250 258 286 328	-811589100718
STPT(10)	1719536880364502201	0 2 36 38 78 80 120 122 156 158	-779483521578
STPT(10)	1719536983282082219	0 2 12 14 90 92 168 170 180 182	-676565941560
STPT(10)	1719537120743484827	0 2 114 116 222 224 330 332 444 446	-539104538952
SPT(16)	1719537241651986727	0 10 12 34 36 46 106 112 144 150 210 220 222 244 246 256	-418196037052
SPT(16)	1719537439321313191	0 10 16 40 52 60 66 100 138 172 178 186 198 222 228 238	-220526710588
STPT(10)	1719537933756670397	0 2 30 32 42 44 54 56 84 86	273908646618
SPT(16)	1719537984078554867	0 6 42 96 110 126 132 152 240 260 266 282 296 350 386 392	324230531088
SPT(16)	1719538111851566141	0 36 50 108 132 146 182 212 246 276 312 326 350 408 422 458	452003542362
STPT(10)	1719538239732385451	0 2 30 32 120 122 210 212 240 242	579884361672
SPT(16)	1719538505167882043	0 8 54 60 98 164 170 198 206 234 240 306 344 350 396 404	845319858264