Prime p₀= 826943770326070559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 52 2 28 2 64 2 28 2 52 2 (?)
a_n: 0 2 138 140 192 194 222 224 288 290 318 320 372 374
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: 374
Found by: scrap
db: batch=73, k=14, 136 52 28 64 28 52

SPT(16)	826942090164483031	0 6 12 72 76 82 90 96 142 148 156 162 166 226 232 238	-1680161587528
SPT(16)	826942730630699321	0 6 8 36 72 78 80 108 140 168 170 176 212 240 242 248	-1039695371238
STPT(10)	826942862831131799	0 2 18 20 30 32 42 44 60 62	-907494938760
SPT(16)	826942901522032013	0 8 26 38 60 108 110 120 164 174 176 224 246 258 276 284	-868804038546
SPT(16)	826943314920382823	0 60 74 104 114 174 308 330 338 360 494 554 564 594 608 668	-455405687736
TPT(14)	826943714460374879	0 2 18 20 60 62 90 92 102 104 132 134 198 200	-55865695680
STPT(12)	826943770326070697	0 2 54 56 84 86 150 152 180 182 234 236	138
SPT(16)	826943785983515159	0 18 38 42 72 78 98 120 122 144 164 170 200 204 224 242	15657444600
SPT(16)	826943882011674527	0 6 42 90 102 104 144 204 272 332 372 374 386 434 470 476	111685603968
STPT(10)	826943939645124209	0 2 18 20 30 32 42 44 60 62	169319053650
SPT(16)	826944015491176393	0 10 24 54 70 118 150 166 228 244 276 324 340 370 384 394	245165105834