Prime p₀= 1044593000599478381 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: schoussi
db: batch=76, k=10, 2 4 2 10 2

STPT(10)	1044591034772808581	0 2 36 38 78 80 120 122 156 158	-1965826669800
SPT(16)	1044591115186244761	0 18 22 76 100 148 156 186 202 232 240 288 312 366 370 388	-1885413233620
SPT(16)	1044591743439211727	0 6 12 44 60 62 114 132 194 212 264 266 282 314 320 326	-1257160266654
STPT(10)	1044592198140599201	0 2 30 32 60 62 90 92 120 122	-802458879180
STPT(10)	1044592389579049697	0 2 12 14 42 44 72 74 84 86	-611020428684
SPT(16)	1044592748496966001	0 6 46 72 90 106 130 132 196 198 222 238 256 282 322 328	-252102512380
TPT(14)	1044593097348583931	0 2 36 38 78 80 96 98 150 152 156 158 168 170	96749105550
SPT(16)	1044593754779377351	0 22 82 132 150 160 162 190 222 250 252 262 280 330 390 412	754179898970
STPT(10)	1044593829338713439	0 2 42 44 120 122 198 200 240 242	828739235058
SPT(16)	1044593862720263707	0 40 76 82 102 106 126 180 202 256 276 280 300 306 342 382	862120785326
SPT(13)	1044593871383743781	0 60 90 126 198 216 228 240 258 330 366 396 456	870784265400