Prime p₀= 2089023349800536099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: MarkRBright
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2089022257132656091	0 10 16 58 112 126 142 168 250 276 292 306 360 402 408 418	-1092667880008
SPT(16)	2089022261427415949	0 12 24 104 134 152 162 174 350 362 372 390 420 500 512 524	-1088373120150
SPT(16)	2089022863521417497	0 14 60 66 84 86 104 176 240 312 330 332 350 356 402 416	-486279118602
TPT(14)	2089023007044966611	0 2 36 38 48 50 78 80 150 152 210 212 216 218	-342755569488
SPT(16)	2089023162740202467	0 20 42 44 62 86 140 174 182 216 270 294 312 314 336 356	-187060333632
STPT(10)	2089023333124766567	0 2 12 14 42 44 72 74 84 86	-16675769532
SPT(16)	2089023504079730429	0 50 60 98 128 134 168 180 182 194 228 234 264 302 312 362	154279194330
STPT(10)	2089023524284583987	0 2 42 44 72 74 102 104 144 146	174484047888
SPT(16)	2089023545080340677	0 12 22 34 54 90 102 142 144 184 196 232 252 264 274 286	195279804578
STPT(10)	2089023603632478341	0 2 6 8 48 50 90 92 96 98	253831942242
STPT(10)	2089023824229424931	0 2 30 32 60 62 90 92 120 122	474428888832