Prime p₀= 2134667682566554691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Vato
db: batch=80, k=10, 2 4 2 40 2

STPT(10)	2134666572388599647	0 2 30 32 72 74 114 116 144 146	-1110177955044
STPT(10)	2134666612026702539	0 2 42 44 60 62 78 80 120 122	-1070539852152
SPT(16)	2134666903189365001	0 22 28 30 52 72 78 136 162 220 226 246 268 270 276 298	-779377189690
SPT(16)	2134667168508073313	0 6 8 48 56 60 66 78 86 98 104 108 116 156 158 164	-514058481378
SPT(16)	2134667334699965713	0 70 96 118 130 148 196 216 238 258 306 324 336 358 384 454	-347866588978
STPT(12)	2134667553268620527	0 2 42 44 54 56 120 122 132 134 174 176	-129297934164
TPT(14)	2134667703809069027	0 2 30 32 42 44 144 146 222 224 240 242 282 284	21242514336
SPT(16)	2134667810619278503	0 6 30 70 84 88 114 118 126 130 156 160 174 214 238 244	128052723812
SPT(16)	2134668118237771817	0 26 54 86 114 162 182 194 252 264 284 332 360 392 420 446	435671217126
SPT(16)	2134668456706070543	0 14 20 24 56 60 68 90 164 186 194 198 230 234 240 254	774139515852
SPT(16)	2134668749164030867	0 16 30 36 76 84 106 120 196 210 232 240 280 286 300 316	1066597476176