Prime p₀= 2044728299358228299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=80, k=10, 2 10 2 16 2

SPT(18)	2044727082452248057	0 36 96 106 132 160 190 196 222 304 330 336 366 394 420 430 490 526	-1216905980242
STPT(10)	2044727612571131729	0 2 42 44 90 92 138 140 180 182	-686787096570
STPT(10)	2044727729017974599	0 2 18 20 30 32 42 44 60 62	-570340253700
STPT(10)	2044727885441165591	0 2 6 8 18 20 30 32 36 38	-413917062708
SPT(16)	2044728017857332523	0 4 36 60 84 106 130 154 210 234 258 280 304 328 360 364	-281500895776
SPT(16)	2044728271670792119	0 40 54 70 90 124 130 144 154 168 174 208 228 244 258 298	-27687436180
SPT(16)	2044728627472466269	0 10 64 94 102 132 138 154 228 244 250 280 288 318 372 382	328114237970
STPT(12)	2044728698510027069	0 2 12 14 72 74 78 80 138 140 150 152	399151798770
SPT(16)	2044728964986777149	0 54 68 72 80 98 108 110 192 194 204 222 230 234 248 302	665628548850
SPT(16)	2044729200628007617	0 22 70 72 114 142 174 196 240 262 294 322 364 366 414 436	901269779318
STPT(10)	2044729665954365441	0 2 6 8 18 20 30 32 36 38	1366596137142