Prime p₀= 2377244436482151359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2377243751094393641	0 20 26 32 42 102 116 120 158 162 176 236 246 252 258 278	-685387757718
SPT(16)	2377244026607299547	0 26 80 90 92 96 150 162 164 176 230 234 236 246 300 326	-409874851812
STPT(10)	2377244148177911237	0 2 30 32 42 44 54 56 84 86	-288304240122
SPT(16)	2377244178139984523	0 14 44 56 104 116 126 146 168 188 198 210 258 270 300 314	-258342166836
STPT(10)	2377244319607945589	0 2 42 44 90 92 138 140 180 182	-116874205770
STPT(12)	2377244371608943127	0 2 42 44 54 56 90 92 102 104 144 146	-64873208232
STPT(10)	2377244495177447837	0 2 30 32 42 44 54 56 84 86	58695296478
STPT(10)	2377244561850716651	0 2 30 32 60 62 90 92 120 122	125368565292
STPT(10)	2377244576149003877	0 2 30 32 42 44 54 56 84 86	139666852518
SPT(16)	2377244769698944801	0 36 40 60 88 90 96 108 148 160 166 168 196 216 220 256	333216793442
TPT(14)	2377244929564765187	0 2 54 56 132 134 180 182 222 224 252 254 270 272	493082613828