Prime p₀= 961872855999546311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	961871540250932813	0 6 38 78 80 98 120 146 168 194 216 234 236 276 308 314	-1315748613498
SPT(16)	961871906147733527	0 20 44 56 60 90 122 170 246 294 326 356 360 372 396 416	-949851812784
SPT(16)	961872071702913577	0 16 22 30 42 82 100 114 232 246 264 304 316 324 330 346	-784296632734
TPT(14)	961872119862790679	0 2 72 74 132 134 180 182 210 212 228 230 312 314	-736136755632
STPT(12)	961872521846741927	0 2 30 32 42 44 102 104 114 116 144 146	-334152804384
STPT(10)	961872591231513287	0 2 30 32 42 44 54 56 84 86	-264768033024
STPT(10)	961873377297938447	0 2 24 26 42 44 60 62 84 86	521298392136
SPT(16)	961873685247659647	0 4 16 24 40 66 84 94 102 112 130 156 172 180 192 196	829248113336
SPT(16)	961873862155395067	0 36 106 112 120 154 162 186 190 214 222 256 264 270 340 376	1006155848756
SPT(16)	961873888511361577	0 6 22 36 120 124 136 142 174 180 192 196 280 294 310 316	1032511815266
STPT(10)	961874013462519251	0 2 6 8 48 50 90 92 96 98	1157462972940