Prime p₀= 2377656128679364217 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2377655542398823861	0 40 52 96 228 256 262 280 408 426 432 460 592 636 648 688	-586280540356
STPT(10)	2377655572944447119	0 2 18 20 30 32 42 44 60 62	-555734917098
TPT(14)	2377655675326547879	0 2 18 20 30 32 42 44 90 92 102 104 132 134	-453352816338
SPT(16)	2377655827320150757	0 22 24 42 70 132 150 154 252 256 274 336 364 382 384 406	-301359213460
STPT(10)	2377655929323295427	0 2 42 44 72 74 102 104 144 146	-199356068790
STPT(10)	2377655977479156431	0 2 36 38 78 80 120 122 156 158	-151200207786
SPT(16)	2377656177322217989	0 40 54 70 84 88 124 168 190 234 270 274 288 304 318 358	48642853772
STPT(10)	2377656392034988151	0 2 6 8 48 50 90 92 96 98	263355623934
SPT(16)	2377656577436943197	0 6 30 50 72 110 126 140 162 176 192 230 252 272 296 302	448757578980
SPT(16)	2377656730527115561	0 18 28 58 112 132 142 160 168 186 196 216 270 300 310 328	601847751344
TPT(14)	2377656985181012879	0 2 78 80 120 122 180 182 288 290 318 320 378 380	856501648662