Prime p₀= 1231597289593711091 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: mcf2020
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1231595836817239079	0 2 18 20 30 32 42 44 60 62	-1452776472012
STPT(12)	1231596126521529449	0 2 18 20 42 44 48 50 72 74 90 92	-1163072181642
STPT(10)	1231596195474294701	0 2 6 8 18 20 30 32 36 38	-1094119416390
SPT(16)	1231596322927980259	0 22 64 70 78 160 172 174 208 210 222 304 312 318 360 382	-966665730832
SPT(16)	1231596640883149757	0 2 20 30 42 66 102 140 156 194 230 254 266 276 294 296	-648710561334
STPT(10)	1231597263093512069	0 2 18 20 30 32 42 44 60 62	-26500199022
STPT(10)	1231597397772174911	0 2 30 32 78 80 126 128 156 158	108178463820
STPT(10)	1231597501207853807	0 2 30 32 42 44 54 56 84 86	211614142716
SPT(16)	1231597611008510149	0 18 28 40 52 60 70 94 138 162 172 180 192 204 214 232	321414799058
SPT(16)	1231597658284818457	0 34 54 90 112 120 124 132 142 150 154 162 184 220 240 274	368691107366
SPT(16)	1231597956328025047	0 12 40 82 114 126 154 192 244 282 310 322 354 396 424 436	666734313956