Prime p₀= 2365377233635154729 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

SPT(16)	2365375402783891423	0 4 16 24 28 46 60 94 120 154 168 186 190 198 210 214	-1830851263306
TPT(16)	2365376254256790389	0 2 18 20 30 32 60 62 138 140 168 170 180 182 192 194	-979378364340
STPT(12)	2365376254256790407	0 2 12 14 42 44 120 122 150 152 162 164	-979378364322
STPT(10)	2365376352742643291	0 2 6 8 18 20 30 32 36 38	-880892511438
SPT(16)	2365376670053952787	0 36 42 46 52 100 112 126 166 180 192 240 246 250 256 292	-563581201942
STPT(10)	2365376962551322199	0 2 18 20 30 32 42 44 60 62	-271083832530
SPT(16)	2365378015529030869	0 28 48 64 90 108 124 168 190 234 250 268 294 310 330 358	781893876140
STPT(10)	2365378141460818457	0 2 30 32 42 44 54 56 84 86	907825663728
SPT(16)	2365379023756212241	0 42 88 150 166 180 198 208 240 250 268 282 298 360 406 448	1790121057512
SPT(18)	2365379028889331759	0 14 38 42 44 62 72 104 128 174 198 230 240 258 260 264 288 302	1795254177030
STPT(10)	2365379100891467357	0 2 12 14 72 74 132 134 144 146	1867256312628