Prime p₀= 2379029776493651399 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2379029115076589291	0 8 32 42 60 68 162 170 210 218 312 320 338 348 372 380	-661417062108
SPT(16)	2379029162643231253	0 18 30 58 94 106 154 156 178 180 228 240 276 304 316 334	-613850420146
STPT(10)	2379029272754409797	0 2 30 32 42 44 54 56 84 86	-503739241602
TPT(14)	2379029365418761409	0 2 12 14 72 74 102 104 168 170 210 212 228 230	-411074889990
TPT(14)	2379029374193205101	0 2 18 20 30 32 96 98 168 170 198 200 210 212	-402300446298
SPT(16)	2379029624779234711	0 6 12 30 40 42 82 126 172 216 256 258 268 286 292 298	-151714416688
SPT(16)	2379030062598705743	0 24 36 44 50 86 110 156 188 234 258 294 300 308 320 344	286105054344
SPT(16)	2379030626048701711	0 16 102 118 120 126 132 168 220 256 262 268 270 286 372 388	849555050312
SPT(16)	2379030862053180997	0 30 36 54 60 90 126 180 190 244 280 310 316 334 340 370	1085559529598
STPT(10)	2379030974398482497	0 2 30 32 60 62 90 92 120 122	1197904831098
STPT(10)	2379031415242022171	0 2 36 38 78 80 120 122 156 158	1638748370772