Prime p₀= 2290589510435007107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2290588067473626293	0 38 80 150 156 158 200 234 260 294 336 338 344 414 456 494	-1442961380814
SPT(16)	2290588472575633057	0 22 24 72 90 94 126 130 216 220 252 256 274 322 324 346	-1037859374050
TPT(14)	2290588515725952257	0 2 54 56 60 62 72 74 102 104 114 116 180 182	-994709054850
STPT(10)	2290588660300416557	0 2 42 44 72 74 102 104 144 146	-850134590550
TPT(14)	2290589315724511001	0 2 30 32 96 98 126 128 180 182 210 212 228 230	-194710496106
STPT(10)	2290589435956083257	0 2 30 32 72 74 114 116 144 146	-74478923850
STPT(10)	2290589515483464719	0 2 18 20 30 32 42 44 60 62	5048457612
SPT(16)	2290589700784930609	0 30 54 78 84 100 102 124 168 190 192 208 214 238 262 292	190349923502
SPT(16)	2290589831505912253	0 6 18 58 78 108 118 144 160 186 196 226 246 286 298 304	321070905146
STPT(10)	2290589892995941637	0 2 42 44 72 74 102 104 144 146	382560934530
STPT(10)	2290589928900784307	0 2 30 32 42 44 54 56 84 86	418465777200