Prime p₀= 2371959813624582089 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

STPT(10)	2371958789226849671	0 2 30 32 60 62 90 92 120 122	-1024397732418
SPT(16)	2371958980970360147	0 2 32 56 66 80 90 156 176 242 252 266 276 300 330 332	-832654221942
STPT(10)	2371958988677721137	0 2 30 32 60 62 90 92 120 122	-824946860952
TPT(14)	2371959015569827337	0 2 24 26 54 56 90 92 120 122 162 164 234 236	-798054754752
TPT(14)	2371959269059657811	0 2 6 8 18 20 30 32 48 50 120 122 156 158	-544564924278
SPT(16)	2371959555411138841	0 10 18 52 58 102 130 136 162 168 196 240 246 280 288 298	-258213443248
SPT(16)	2371959862526102567	0 20 24 32 42 104 164 182 192 210 270 332 342 350 354 374	48901520478
SPT(16)	2371959938552498377	0 52 54 66 94 96 132 172 264 304 340 342 370 382 384 436	124927916288
STPT(10)	2371959950358754529	0 2 12 14 90 92 168 170 180 182	136734172440
STPT(10)	2371960010329935587	0 2 42 44 72 74 102 104 144 146	196705353498
STPT(10)	2371960055307385139	0 2 42 44 60 62 78 80 120 122	241682803050