Prime p₀= 2777814867232042679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2777812388288534417	0 2 60 62 72 74 84 86 144 146	-2478943508262
SPT(16)	2777812737462498941	0 8 30 50 86 98 150 156 182 188 240 252 288 308 330 338	-2129769543738
SPT(16)	2777813781355901773	0 4 70 78 90 106 130 136 168 174 198 214 226 234 300 304	-1085876140906
SPT(16)	2777813807205446939	0 42 48 62 68 108 132 138 224 230 254 294 300 314 320 362	-1060026595740
STPT(10)	2777813873554538627	0 2 30 32 42 44 54 56 84 86	-993677504052
SPT(16)	2777814063791524259	0 32 38 80 108 188 210 222 230 242 264 344 372 414 420 452	-803440518420
SPT(16)	2777815034762177239	0 30 64 78 82 162 172 174 238 240 250 330 334 348 382 412	167530134560
TPT(14)	2777815405412851229	0 2 30 32 60 62 138 140 150 152 192 194 360 362	538180808550
TPT(14)	2777815509017967701	0 2 126 128 150 152 180 182 216 218 258 260 330 332	641785925022
STPT(10)	2777815697443744169	0 2 18 20 60 62 102 104 120 122	830211701490
SPT(13)	2777816051130219233	0 24 54 84 96 186 210 234 324 336 366 396 420	1183898176554