Prime p₀= 2342292985803846077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2342291856387400033	0 4 46 90 166 186 190 198 256 264 268 288 364 408 450 454	-1129416446044
TPT(14)	2342292097826350247	0 2 12 14 30 32 54 56 132 134 144 146 240 242	-887977495830
SPT(16)	2342292111420764539	0 4 22 24 54 70 82 100 234 252 264 280 310 312 330 334	-874383081538
STPT(10)	2342292196614886091	0 2 36 38 78 80 120 122 156 158	-789188959986
STPT(10)	2342292399155363951	0 2 6 8 18 20 30 32 36 38	-586648482126
TPT(14)	2342292538633564157	0 2 12 14 84 86 102 104 132 134 252 254 312 314	-447170281920
SPT(16)	2342293066092865343	0 14 20 78 80 96 138 150 194 206 248 264 266 324 330 344	80289019266
STPT(10)	2342293264812675917	0 2 30 32 42 44 54 56 84 86	279008829840
TPT(14)	2342293697844704711	0 2 90 92 156 158 186 188 198 200 258 260 288 290	712040858634
SPT(16)	2342293698733829059	0 18 84 90 114 130 150 160 168 178 198 214 238 244 310 328	712929982982
STPT(10)	2342294319552476489	0 2 48 50 90 92 132 134 180 182	1333748630412