Prime p₀= 3031760128805893127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Alnitak2019
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3031759206015003127	0 54 60 76 82 100 112 126 130 144 156 174 180 196 202 256	-922790890000
SPT(13)	3031759277596835941	0 60 108 150 180 192 210 228 240 270 312 360 420	-851209057186
STPT(10)	3031759763517331541	0 2 36 38 78 80 120 122 156 158	-365288561586
SPT(16)	3031759791709655801	0 12 72 98 116 126 146 170 198 222 242 252 270 296 356 368	-337096237326
SPT(16)	3031759797339020591	0 12 30 42 62 68 186 228 350 392 510 516 536 548 566 578	-331466872536
SPT(16)	3031759935697535621	0 36 60 66 90 126 132 140 228 236 242 278 302 308 332 368	-193108357506
STPT(10)	3031760664805939247	0 2 24 26 42 44 60 62 84 86	536000046120
SPT(16)	3031761124199051467	0 6 16 34 40 70 82 100 126 144 156 186 192 210 220 226	995393158340
SPT(16)	3031761362803985587	0 10 24 42 54 84 90 102 124 136 142 172 184 202 216 226	1233998092460
STPT(10)	3031761407602847399	0 2 18 20 30 32 42 44 60 62	1278796954272
SPT(16)	3031761577626173053	0 4 36 54 76 96 126 154 180 208 238 258 280 298 330 334	1448820279926