Prime p₀= 1057095578998556087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: =Lupus=
db: batch=76, k=10, 2 10 2 28 2

SPT(18)	1057094288670913019	0 20 42 44 60 90 98 108 128 204 224 234 242 272 288 290 312 332	-1290327643068
SPT(16)	1057094755132742743	0 6 28 54 96 156 174 186 238 250 268 328 370 396 418 424	-823865813344
STPT(12)	1057094799800642879	0 2 90 92 108 110 150 152 168 170 258 260	-779197913208
TPT(14)	1057094882963782589	0 2 78 80 90 92 222 224 252 254 288 290 300 302	-696034773498
TPT(14)	1057094987923146671	0 2 48 50 78 80 90 92 156 158 186 188 246 248	-591075409416
STPT(10)	1057095193084427591	0 2 6 8 48 50 90 92 96 98	-385914128496
SPT(16)	1057095581391057053	0 14 48 104 138 158 180 198 266 284 306 326 360 416 450 464	2392500966
SPT(16)	1057095596867219281	0 28 58 60 66 102 108 126 172 190 196 232 238 240 270 298	17868663194
SPT(16)	1057096600025882863	0 6 46 84 90 160 174 196 198 220 234 304 310 348 388 394	1021027326776
SPT(16)	1057096778954578709	0 2 42 44 48 72 110 128 144 162 200 224 228 230 270 272	1199956022622
STPT(10)	1057097234480075021	0 2 30 32 78 80 126 128 156 158	1655481518934