Prime p₀= 1081650351660435251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: sorcrosc
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1081649088810127667	0 90 92 96 110 140 144 162 194 212 216 246 260 264 266 356	-1262850307584
SPT(16)	1081649172778852087	0 4 12 16 40 106 112 114 172 174 180 246 270 274 282 286	-1178881583164
STPT(10)	1081649713008133679	0 2 12 14 90 92 168 170 180 182	-638652301572
SPT(16)	1081649726764261469	0 20 48 92 122 132 162 170 210 218 248 258 288 332 360 380	-624896173782
STPT(10)	1081649848420153499	0 2 12 14 90 92 168 170 180 182	-503240281752
SPT(16)	1081649963160663289	0 40 60 82 108 150 210 250 252 292 352 394 420 442 462 502	-388499771962
SPT(16)	1081650508883772341	0 2 30 66 72 98 150 206 252 308 360 386 392 428 456 458	157223337090
SPT(16)	1081650680794577987	0 32 60 80 126 170 186 252 290 356 372 416 462 482 510 542	329134142736
STPT(10)	1081650961838894747	0 2 24 26 42 44 60 62 84 86	610178459496
SPT(16)	1081651001471914301	0 8 18 60 72 86 126 128 240 242 282 296 308 350 360 368	649811479050
TPT(14)	1081651041754585109	0 2 12 14 192 194 252 254 300 302 318 320 342 344	690094149858