Prime p₀= 858990145686629219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: scrap
db: batch=73, k=10, 2 46 2 40 2

SPT(16)	858989017920889901	0 38 78 122 132 140 180 188 210 218 258 266 276 320 360 398	-1127765739318
STPT(10)	858989103165414581	0 2 6 8 48 50 90 92 96 98	-1042521214638
SPT(16)	858989418089056517	0 6 32 42 92 120 162 174 182 194 236 264 314 324 350 356	-727597572702
STPT(10)	858989577789434447	0 2 30 32 72 74 114 116 144 146	-567897194772
SPT(16)	858989867401765651	0 6 12 30 40 48 118 132 166 180 250 258 268 286 292 298	-278284863568
TPT(14)	858989918575591529	0 2 60 62 102 104 192 194 198 200 270 272 282 284	-227111037690
STPT(10)	858990183263051207	0 2 30 32 42 44 54 56 84 86	37576421988
SPT(16)	858990434275843193	0 56 78 80 86 98 104 108 146 150 156 168 174 176 198 254	288589213974
STPT(10)	858990513001035971	0 2 6 8 48 50 90 92 96 98	367314406752
TPT(14)	858990563740562189	0 2 60 62 72 74 138 140 180 182 210 212 222 224	418053932970
STPT(10)	858990809477538719	0 2 42 44 60 62 78 80 120 122	663790909500