Prime p₀= 1144736644428473807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Putin Has a Small Dick
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1144733415132679501	0 10 30 52 70 90 108 112 156 160 178 198 216 238 258 268	-3229295794306
SPT(16)	1144734095728092211	0 18 46 66 70 72 96 102 166 172 196 198 202 222 250 268	-2548700381596
SPT(16)	1144735486021780297	0 16 54 84 94 112 120 144 232 256 264 282 292 322 360 376	-1158406693510
SPT(16)	1144735490476616881	0 58 76 78 138 148 150 156 160 166 168 178 238 240 258 316	-1153951856926
STPT(10)	1144735710757834199	0 2 12 14 90 92 168 170 180 182	-933670639608
SPT(16)	1144735885749245177	0 14 44 50 120 146 156 182 204 230 240 266 336 342 372 386	-758679228630
STPT(10)	1144736677701098309	0 2 42 44 60 62 78 80 120 122	33272624502
STPT(10)	1144736785775536769	0 2 12 14 30 32 48 50 60 62	141347062962
SPT(16)	1144736838440621053	0 4 28 64 78 108 118 144 154 180 190 220 234 270 294 298	194012147246
STPT(10)	1144737272723744351	0 2 36 38 78 80 120 122 156 158	628295270544
SPT(16)	1144737311273645879	0 60 62 72 74 164 174 210 212 248 258 348 350 360 362 422	666845172072