Prime p₀= 837682462423444637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: ChelseaOilman
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	837681415680521309	0 2 42 44 60 62 78 80 120 122	-1046742923328
STPT(10)	837681473576869541	0 2 6 8 48 50 90 92 96 98	-988846575096
SPT(16)	837681875486742683	0 14 38 74 104 108 140 150 158 168 200 204 234 270 294 308	-586936701954
STPT(10)	837681899297403047	0 2 30 32 42 44 54 56 84 86	-563126041590
SPT(16)	837681931703342851	0 12 66 76 90 178 180 192 196 208 210 298 312 322 376 388	-530720101786
SPT(16)	837682052716977203	0 24 30 50 68 114 168 176 228 236 290 336 354 374 380 404	-409706467434
SPT(18)	837682585337811881	0 20 42 56 108 120 128 150 162 176 188 210 218 230 282 296 318 338	122914367244
SPT(16)	837682715443275749	0 14 32 80 84 98 120 134 168 182 204 218 222 270 288 302	253019831112
STPT(10)	837682792827196997	0 2 30 32 102 104 174 176 204 206	330403752360
SPT(16)	837683368125682577	0 14 102 116 126 144 176 186 230 240 272 290 300 314 402 416	905702237940
STPT(10)	837683642771931497	0 2 120 122 150 152 180 182 300 302	1180348486860