Prime p₀= 1081037777161420577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 28 2 40 2

TPT(14)	1081036832634749717	0 2 42 44 60 62 102 104 180 182 192 194 234 236	-944526670860
SPT(16)	1081036978819582501	0 12 48 66 96 112 178 198 370 390 456 472 502 520 556 568	-798341838076
SPT(16)	1081037366467988707	0 10 12 24 30 70 72 82 84 94 96 136 142 154 156 166	-410693431870
SPT(16)	1081037441380111871	0 8 32 42 50 138 152 182 186 216 230 318 326 336 360 368	-335781308706
SPT(16)	1081037560635481511	0 18 30 66 86 96 110 138 200 228 242 252 272 308 320 338	-216525939066
TPT(14)	1081037720475525077	0 2 72 74 144 146 234 236 270 272 282 284 402 404	-56685895500
STPT(10)	1081038314262529409	0 2 42 44 90 92 138 140 180 182	537101108832
STPT(10)	1081038646686791657	0 2 42 44 72 74 102 104 144 146	869525371080
SPT(16)	1081038966784490617	0 30 36 82 112 124 154 166 210 222 252 264 294 340 346 376	1189623070040
SPT(16)	1081038968303206061	0 32 42 80 86 116 120 168 290 338 342 372 378 416 426 458	1191141785484
STPT(10)	1081039035102096839	0 2 18 20 30 32 42 44 60 62	1257940676262