Prime p₀= 927573772843160897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: crashtech
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	927572688329790301	0 28 40 58 60 78 88 102 148 162 172 190 192 210 222 250	-1084513370596
SPT(16)	927572903601281159	0 14 68 74 80 98 122 150 182 210 234 252 258 264 318 332	-869241879738
SPT(16)	927573047077543667	0 6 12 56 72 120 132 140 162 170 182 230 246 290 296 302	-725765617230
SPT(16)	927573080601107323	0 18 36 60 76 130 154 166 168 180 204 258 274 298 316 334	-692242053574
SPT(16)	927573083455897919	0 42 54 74 98 104 132 144 218 230 258 264 288 308 320 362	-689387262978
STPT(10)	927573705693470777	0 2 30 32 42 44 54 56 84 86	-67149690120
STPT(10)	927573818575804451	0 2 6 8 18 20 30 32 36 38	45732643554
SPT(18)	927574182277034821	0 18 42 70 78 88 100 102 172 198 268 270 282 292 300 328 352 370	409433873924
SPT(16)	927574325722548787	0 22 24 40 112 160 166 180 316 330 336 384 456 472 474 496	552879387890
SPT(16)	927574620701344547	0 2 42 84 114 122 180 194 222 236 294 302 332 374 414 416	847858183650
STPT(10)	927574716517819541	0 2 78 80 108 110 138 140 216 218	943674658644