Prime p₀= 2254686916350287267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2254686202280262563	0 24 36 38 54 74 168 198 206 236 330 350 366 368 380 404	-714070024704
STPT(10)	2254686240150217631	0 2 6 8 18 20 30 32 36 38	-676200069636
STPT(10)	2254686507944497811	0 2 30 32 60 62 90 92 120 122	-408405789456
STPT(10)	2254686616022983487	0 2 42 44 72 74 102 104 144 146	-300327303780
SPT(16)	2254686629962299521	0 80 86 120 170 218 260 378 410 528 570 618 668 702 708 788	-286387987746
SPT(16)	2254686737341994413	0 40 54 78 90 120 124 160 168 204 208 238 250 274 288 328	-179008292854
STPT(10)	2254687075286668571	0 2 6 8 48 50 90 92 96 98	158936381304
STPT(10)	2254687122920322029	0 2 42 44 60 62 78 80 120 122	206570034762
SPT(16)	2254687362284732083	0 10 78 120 154 168 198 220 288 310 340 354 388 430 498 508	445934444816
SPT(16)	2254687594127772467	0 6 42 44 74 110 114 140 156 182 186 222 252 254 290 296	677777485200
SPT(16)	2254687811765659591	0 16 40 46 58 96 102 132 136 166 172 210 222 228 252 268	895415372324