Prime p₀= 1044568166602346201 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

SPT(16)	1044567460208795857	0 10 12 52 60 94 120 126 130 136 162 196 204 244 246 256	-706393550344
SPT(16)	1044567482246942513	0 30 60 98 104 126 140 230 234 324 338 360 366 404 434 464	-684355403688
SPT(16)	1044567779108002043	0 14 30 48 68 90 98 140 198 240 248 270 290 308 324 338	-387494344158
STPT(10)	1044567886013553521	0 2 6 8 48 50 90 92 96 98	-280588792680
SPT(16)	1044568049052543943	0 28 48 64 100 114 124 144 184 204 214 228 264 280 300 328	-117549802258
STPT(10)	1044568147010818481	0 2 6 8 18 20 30 32 36 38	-19591527720
SPT(16)	1044568333591350173	0 20 36 48 144 170 204 224 300 320 354 380 476 488 504 524	166989003972
SPT(16)	1044568638675257167	0 30 66 72 82 112 150 154 192 196 234 264 274 280 316 346	472072910966
SPT(16)	1044569066973185471	0 18 60 110 126 176 198 246 320 368 390 440 456 506 548 566	900370839270
STPT(10)	1044569399227605707	0 2 30 32 42 44 54 56 84 86	1232625259506
SPT(16)	1044569886615725761	0 36 42 76 78 96 180 196 222 238 322 340 342 376 382 418	1720013379560