Prime p₀= 1056735495582677147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	1056733857305423291	0 8 30 42 92 108 120 128 192 200 212 228 278 290 312 320	-1638277253856
STPT(10)	1056733989042642257	0 2 12 14 42 44 72 74 84 86	-1506540034890
SPT(16)	1056734507239910269	0 18 40 42 52 60 78 88 144 154 172 180 190 192 214 232	-988342766878
SPT(16)	1056734785827328249	0 52 70 102 108 228 300 318 322 340 412 532 538 570 588 640	-709755348898
STPT(10)	1056734820012754427	0 2 30 32 42 44 54 56 84 86	-675569922720
STPT(10)	1056735232811574857	0 2 30 32 72 74 114 116 144 146	-262771102290
STPT(10)	1056735770654644181	0 2 6 8 48 50 90 92 96 98	275071967034
STPT(10)	1056736037982377897	0 2 60 62 72 74 84 86 144 146	542399700750
SPT(16)	1056736314005016461	0 48 50 68 92 146 176 182 186 192 222 276 300 318 320 368	818422339314
SPT(16)	1056736764424816297	0 12 42 96 130 142 166 172 294 300 324 336 370 424 454 466	1268842139150
SPT(16)	1056736812758349197	0 12 30 102 146 212 230 252 254 276 294 360 404 476 494 506	1317175672050