Prime p₀= 791469033634970027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

TPT(14)	791467345916032697	0 2 30 32 42 44 162 164 174 176 270 272 420 422	-1687718937330
SPT(16)	791467628074247171	0 36 42 48 68 110 132 182 186 236 258 300 320 326 332 368	-1405560722856
STPT(10)	791467645617475817	0 2 42 44 72 74 102 104 144 146	-1388017494210
SPT(16)	791467670020914697	0 10 16 54 100 130 150 186 250 286 306 336 382 420 426 436	-1363614055330
SPT(16)	791468400558133799	0 12 42 50 62 74 134 168 194 228 288 300 312 320 350 362	-633076836228
SPT(16)	791468601684736117	0 10 30 72 90 94 112 114 130 132 150 154 172 214 234 244	-431950233910
TPT(16)	791469244815218819	0 2 78 80 132 134 192 194 222 224 288 290 300 302 348 350	211180248792
SPT(18)	791469400167525997	0 4 40 112 114 130 144 154 264 280 390 400 414 430 432 504 540 544	366532555970
SPT(22)	791469784865087611	0 40 66 90 100 106 118 136 148 156 178 180 202 210 222 240 252 258 268 292 318 358	751230117584
STPT(10)	791469917755933859	0 2 18 20 60 62 102 104 120 122	884120963832
SPT(16)	791470108421107361	0 8 38 42 78 96 120 126 152 158 182 200 236 240 270 278	1074786137334