Prime p₀= 829291687489219049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: marsinph
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	829290926672910679	0 94 108 112 160 172 202 274 318 390 420 432 480 484 498 592	-760816308370
SPT(13)	829291067215550311	0 12 60 168 192 228 270 312 348 372 480 528 540	-620273668738
SPT(16)	829291190684617537	0 22 42 64 84 90 100 112 114 126 136 142 162 184 204 226	-496804601512
STPT(10)	829291560695727527	0 2 30 32 72 74 114 116 144 146	-126793491522
SPT(18)	829291613048702347	0 82 102 124 162 172 190 202 216 250 264 276 294 304 342 364 384 466	-74440516702
SPT(16)	829291653821166677	0 42 56 86 102 122 150 162 164 176 204 224 240 270 284 326	-33668052372
SPT(16)	829291859598277519	0 10 12 22 42 64 72 78 184 190 198 220 240 250 252 262	172109058470
STPT(10)	829292017843413791	0 2 6 8 18 20 30 32 36 38	330354194742
SPT(16)	829292048401946933	0 14 20 30 56 74 110 116 138 144 180 198 224 234 240 254	360912727884
STPT(10)	829292844919426967	0 2 60 62 102 104 144 146 204 206	1157430207918
SPT(16)	829292883567976777	0 34 46 54 70 94 120 126 130 136 162 186 202 210 222 256	1196078757728