Prime p₀= 826944132137738357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: scrap
db: batch=73, k=10, 2 10 2 28 2

TPT(14)	826943770326070559	0 2 138 140 192 194 222 224 288 290 318 320 372 374	-361811667798
STPT(12)	826943770326070697	0 2 54 56 84 86 150 152 180 182 234 236	-361811667660
SPT(16)	826943785983515159	0 18 38 42 72 78 98 120 122 144 164 170 200 204 224 242	-346154223198
SPT(16)	826943882011674527	0 6 42 90 102 104 144 204 272 332 372 374 386 434 470 476	-250126063830
STPT(10)	826943939645124209	0 2 18 20 30 32 42 44 60 62	-192492614148
SPT(16)	826944015491176393	0 10 24 54 70 118 150 166 228 244 276 324 340 370 384 394	-116646561964
SPT(16)	826944347285307211	0 22 28 30 42 48 78 88 102 112 142 148 160 162 168 190	215147568854
SPT(20)	826944655417108483	0 10 30 36 40 58 124 136 166 216 268 318 348 360 426 444 448 454 474 484	523279370126
STPT(10)	826944738378593477	0 2 30 32 42 44 54 56 84 86	606240855120
SPT(16)	826944780659160133	0 28 34 48 90 148 154 178 246 270 276 334 376 390 396 424	648521421776
SPT(16)	826944941826397661	0 18 26 60 66 78 108 116 120 128 158 170 176 210 218 236	809688659304