Prime p₀= 1044567886013553521 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: Spectrum
db: batch=76, k=10, 2 4 2 40 2

STPT(10)	1044566536782359681	0 2 96 98 138 140 180 182 276 278	-1349231193840
STPT(10)	1044566698814988989	0 2 48 50 90 92 132 134 180 182	-1187198564532
SPT(16)	1044566769768649999	0 18 42 82 112 114 148 172 180 204 238 240 270 310 334 352	-1116244903522
SPT(16)	1044567460208795857	0 10 12 52 60 94 120 126 130 136 162 196 204 244 246 256	-425804757664
SPT(16)	1044567482246942513	0 30 60 98 104 126 140 230 234 324 338 360 366 404 434 464	-403766611008
SPT(16)	1044567779108002043	0 14 30 48 68 90 98 140 198 240 248 270 290 308 324 338	-106905551478
SPT(16)	1044568049052543943	0 28 48 64 100 114 124 144 184 204 214 228 264 280 300 328	163038990422
STPT(10)	1044568147010818481	0 2 6 8 18 20 30 32 36 38	260997264960
STPT(10)	1044568166602346201	0 2 6 8 48 50 90 92 96 98	280588792680
SPT(16)	1044568333591350173	0 20 36 48 144 170 204 224 300 320 354 380 476 488 504 524	447577796652
SPT(16)	1044568638675257167	0 30 66 72 82 112 150 154 192 196 234 264 274 280 316 346	752661703646