Prime p₀= 2164051812651215519 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: Landjunge
db: batch=81, k=10, 2 40 2 46 2

SPT(16)	2164050977883485149	0 12 60 70 118 130 138 144 148 154 162 174 222 232 280 292	-834767730370
STPT(10)	2164050997863132977	0 2 30 32 42 44 54 56 84 86	-814788082542
SPT(16)	2164051100279434943	0 44 98 120 140 168 170 174 254 258 260 288 308 330 384 428	-712371780576
SPT(16)	2164051165168605043	0 70 94 100 126 130 136 160 210 234 240 244 270 276 300 370	-647482610476
SPT(16)	2164051292919988079	0 12 48 60 144 150 254 290 342 378 482 488 572 584 620 632	-519731227440
SPT(16)	2164051573817637451	0 10 30 52 58 76 82 96 112 126 132 150 156 178 198 208	-238833578068
SPT(13)	2164052137662769007	0 24 54 66 84 90 150 210 216 234 246 276 300	325011553488
STPT(10)	2164052333195983187	0 2 24 26 42 44 60 62 84 86	520544767668
STPT(10)	2164052720882787401	0 2 6 8 18 20 30 32 36 38	908231571882
SPT(16)	2164052755656186589	0 10 42 52 64 82 90 94 120 124 132 150 162 172 204 214	943004971070
SPT(16)	2164053165046648241	0 60 62 66 72 78 158 212 246 300 380 386 392 396 398 458	1352395432722