Prime p₀= 1040166909230385569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 40 2 46 2

SPT(16)	1040166359696860303	0 18 40 70 88 108 144 150 154 160 196 216 234 264 286 304	-549533525266
SPT(16)	1040166395736334079	0 24 72 78 98 104 114 120 182 188 198 204 224 230 278 302	-513494051490
SPT(16)	1040166405796892873	0 56 66 74 104 186 204 210 290 296 314 396 426 434 444 500	-503433492696
SPT(16)	1040166548987284753	0 6 46 100 114 118 156 166 228 238 276 280 294 348 388 394	-360243100816
STPT(10)	1040166570413248217	0 2 30 32 60 62 90 92 120 122	-338817137352
STPT(10)	1040166862602057077	0 2 30 32 42 44 54 56 84 86	-46628328492
SPT(16)	1040167178654295121	0 22 52 58 72 96 100 162 196 258 262 286 300 306 336 358	269423909552
STPT(10)	1040167613417728319	0 2 18 20 30 32 42 44 60 62	704187342750
STPT(10)	1040167834980764261	0 2 36 38 78 80 120 122 156 158	925750378692
STPT(10)	1040168047556289989	0 2 30 32 120 122 210 212 240 242	1138325904420
SPT(16)	1040168319014758253	0 8 56 80 90 104 108 134 150 176 180 194 204 228 276 284	1409784372684