Prime p₀= 2256081768063105947 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2256080508392584663	0 34 40 54 84 138 168 210 214 256 286 340 370 384 390 424	-1259670521284
STPT(10)	2256080572231342859	0 2 30 32 60 62 90 92 120 122	-1195831763088
SPT(16)	2256080905482326119	0 22 30 130 150 214 234 238 264 268 288 352 372 472 480 502	-862580779828
SPT(16)	2256081109976989679	0 18 38 42 72 74 98 104 108 114 138 140 170 174 194 212	-658086116268
STPT(10)	2256081401277775829	0 2 18 20 30 32 42 44 60 62	-366785330118
TPT(14)	2256081554422910717	0 2 60 62 84 86 114 116 150 152 180 182 192 194	-213640195230
SPT(16)	2256081778788687523	0 6 34 46 108 126 150 160 204 214 238 256 318 330 358 364	10725581576
SPT(16)	2256081925284654433	0 4 16 84 106 186 196 220 240 264 274 354 376 444 456 460	157221548486
SPT(16)	2256082229761622179	0 12 42 84 88 142 144 150 172 178 180 234 238 280 310 322	461698516232
STPT(10)	2256082260972384497	0 2 42 44 72 74 102 104 144 146	492909278550
STPT(10)	2256082351723192511	0 2 36 38 78 80 120 122 156 158	583660086564