Prime p₀= 829292017843413791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: marsinph
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	829291190684617537	0 22 42 64 84 90 100 112 114 126 136 142 162 184 204 226	-827158796254
STPT(10)	829291560695727527	0 2 30 32 72 74 114 116 144 146	-457147686264
SPT(18)	829291613048702347	0 82 102 124 162 172 190 202 216 250 264 276 294 304 342 364 384 466	-404794711444
SPT(16)	829291653821166677	0 42 56 86 102 122 150 162 164 176 204 224 240 270 284 326	-364022247114
STPT(10)	829291687489219049	0 2 18 20 30 32 42 44 60 62	-330354194742
SPT(16)	829291859598277519	0 10 12 22 42 64 72 78 184 190 198 220 240 250 252 262	-158245136272
SPT(16)	829292048401946933	0 14 20 30 56 74 110 116 138 144 180 198 224 234 240 254	30558533142
STPT(10)	829292844919426967	0 2 60 62 102 104 144 146 204 206	827076013176
SPT(16)	829292883567976777	0 34 46 54 70 94 120 126 130 136 162 186 202 210 222 256	865724562986
SPT(16)	829293319302410327	0 2 50 80 150 156 170 176 270 276 290 296 366 396 444 446	1301458996536
STPT(10)	829293393237737567	0 2 12 14 42 44 72 74 84 86	1375394323776