Prime p₀= 2333341172605375157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2333340152908804243	0 10 36 64 70 94 100 106 198 204 210 234 240 268 294 304	-1019696570914
STPT(10)	2333340280023075077	0 2 42 44 72 74 102 104 144 146	-892582300080
SPT(16)	2333340543535651501	0 22 46 48 82 88 118 130 168 180 210 216 250 252 276 298	-629069723656
SPT(16)	2333340725538422261	0 26 30 48 56 60 78 90 98 110 128 132 140 158 162 188	-447066952896
SPT(20)	2333340749531166523	0 18 36 66 70 78 120 130 150 186 298 334 354 364 406 414 418 448 466 484	-423074208634
STPT(10)	2333341022710265567	0 2 24 26 42 44 60 62 84 86	-149895109590
STPT(10)	2333341188197017091	0 2 36 38 78 80 120 122 156 158	15591641934
STPT(10)	2333341412425357307	0 2 30 32 42 44 54 56 84 86	239819982150
SPT(16)	2333341502417011091	0 32 96 126 132 180 186 228 260 302 308 356 362 392 456 488	329811635934
STPT(10)	2333342247235090877	0 2 30 32 60 62 90 92 120 122	1074629715720
TPT(14)	2333342380309275371	0 2 36 38 126 128 150 152 210 212 330 332 348 350	1207703900214