Prime p₀= 2371959950358754529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

TPT(14)	2371959015569827337	0 2 24 26 54 56 90 92 120 122 162 164 234 236	-934788927192
TPT(14)	2371959269059657811	0 2 6 8 18 20 30 32 48 50 120 122 156 158	-681299096718
SPT(16)	2371959555411138841	0 10 18 52 58 102 130 136 162 168 196 240 246 280 288 298	-394947615688
STPT(10)	2371959813624582089	0 2 18 20 30 32 42 44 60 62	-136734172440
SPT(16)	2371959862526102567	0 20 24 32 42 104 164 182 192 210 270 332 342 350 354 374	-87832651962
SPT(16)	2371959938552498377	0 52 54 66 94 96 132 172 264 304 340 342 370 382 384 436	-11806256152
STPT(10)	2371960010329935587	0 2 42 44 72 74 102 104 144 146	59971181058
STPT(10)	2371960055307385139	0 2 42 44 60 62 78 80 120 122	104948630610
SPT(16)	2371960153885832161	0 10 12 36 60 66 70 100 108 138 142 148 172 196 198 208	203527077632
STPT(10)	2371960518973339709	0 2 18 20 30 32 42 44 60 62	568614585180
SPT(16)	2371960739186875339	0 34 42 48 88 100 150 172 240 262 312 324 364 370 378 412	788828120810