Prime p₀= 2777813873554538627 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2777812102043332769	0 2 18 20 30 32 42 44 60 62	-1771511205858
STPT(10)	2777812144793475479	0 2 18 20 30 32 42 44 60 62	-1728761063148
STPT(10)	2777812388288534417	0 2 60 62 72 74 84 86 144 146	-1485266004210
SPT(16)	2777812737462498941	0 8 30 50 86 98 150 156 182 188 240 252 288 308 330 338	-1136092039686
SPT(16)	2777813781355901773	0 4 70 78 90 106 130 136 168 174 198 214 226 234 300 304	-92198636854
SPT(16)	2777813807205446939	0 42 48 62 68 108 132 138 224 230 254 294 300 314 320 362	-66349091688
SPT(16)	2777814063791524259	0 32 38 80 108 188 210 222 230 242 264 344 372 414 420 452	190236985632
STPT(10)	2777814867232042679	0 2 18 20 30 32 42 44 60 62	993677504052
SPT(16)	2777815034762177239	0 30 64 78 82 162 172 174 238 240 250 330 334 348 382 412	1161207638612
TPT(14)	2777815405412851229	0 2 30 32 60 62 138 140 150 152 192 194 360 362	1531858312602
TPT(14)	2777815509017967701	0 2 126 128 150 152 180 182 216 218 258 260 330 332	1635463429074