Prime p₀= 729491533928628431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	729491102657493311	0 42 78 92 102 182 192 200 258 266 276 356 366 380 416 458	-431271135120
SPT(16)	729491294589516643	0 4 6 28 70 78 100 118 156 174 196 204 246 268 270 274	-239339111788
TPT(14)	729491379941436029	0 2 12 14 30 32 78 80 108 110 168 170 210 212	-153987192402
TPT(14)	729491430413101787	0 2 54 56 60 62 90 92 144 146 324 326 354 356	-103515526644
SPT(16)	729491503529123539	0 12 28 40 42 78 112 190 210 288 322 358 360 372 388 400	-30399504892
SPT(16)	729491517285983041	0 6 66 126 130 132 150 156 232 238 256 258 262 322 382 388	-16642645390
TPT(14)	729491583046429781	0 2 6 8 30 32 48 50 198 200 216 218 270 272	49117801350
SPT(16)	729491700271671529	0 10 24 40 48 82 100 114 118 132 150 184 192 208 222 232	166343043098
STPT(10)	729491939341232831	0 2 30 32 78 80 126 128 156 158	405412604400
SPT(16)	729492158508726611	0 42 48 92 138 140 152 162 206 216 228 230 276 320 326 368	624580098180
STPT(10)	729492526667229077	0 2 30 32 42 44 54 56 84 86	992738600646