Prime p₀= 2161599812850657659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2161597834845913349	0 2 12 14 18 20 138 140 198 200 222 224 240 242	-1978004744310
SPT(16)	2161598512552660891	0 76 132 142 220 262 276 292 420 436 450 492 570 580 636 712	-1300297996768
SPT(16)	2161598776647920759	0 2 8 140 182 212 218 230 282 294 300 330 372 504 510 512	-1036202736900
SPT(16)	2161599308207267363	0 50 56 78 84 110 138 164 240 266 294 320 326 348 354 404	-504643390296
SPT(16)	2161599425792502301	0 48 58 72 100 112 130 156 202 228 246 258 286 300 310 358	-387058155358
SPT(16)	2161599539312019901	0 66 70 96 108 118 160 178 180 198 240 250 262 288 292 358	-273538637758
SPT(16)	2161600435776779443	0 24 40 78 84 94 108 136 138 166 180 190 196 234 250 274	622926121784
SPT(16)	2161600745978201653	0 4 28 30 48 58 66 76 108 118 126 136 154 156 180 184	933127543994
SPT(16)	2161600809587014811	0 2 30 42 60 78 92 126 152 186 200 218 236 248 276 278	996736357152
STPT(10)	2161600843729278797	0 2 24 26 42 44 60 62 84 86	1030878621138
STPT(10)	2161601292785941211	0 2 6 8 18 20 30 32 36 38	1479935283552