Prime p₀= 2160580694104124189 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2160579492224834897	0 32 56 60 102 110 144 146 150 152 186 194 236 240 264 296	-1201879289292
STPT(10)	2160579806191352081	0 2 6 8 48 50 90 92 96 98	-887912772108
SPT(16)	2160579995950526431	0 10 12 30 52 58 72 78 130 136 150 156 178 196 198 208	-698153597758
STPT(10)	2160580052985828497	0 2 90 92 102 104 114 116 204 206	-641118295692
STPT(10)	2160580250530522151	0 2 78 80 168 170 258 260 336 338	-443573602038
SPT(16)	2160580412274751721	0 38 56 90 150 170 182 210 248 276 288 308 368 402 420 458	-281829372468
SPT(16)	2160580891542069751	0 52 60 82 88 100 102 132 178 208 210 222 228 250 258 310	197437945562
STPT(10)	2160581109652434377	0 2 30 32 42 44 54 56 84 86	415548310188
SPT(16)	2160581243298703411	0 28 42 58 88 102 112 132 196 216 226 240 270 286 300 328	549194579222
SPT(16)	2160581334345901301	0 18 38 116 132 146 156 168 230 242 252 266 282 360 380 398	640241777112
SPT(16)	2160581407760893561	0 6 12 30 36 42 148 156 202 210 316 322 328 346 352 358	713656769372