Prime p₀= 2044741102135750817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2044739350643895077	0 2 42 44 72 74 102 104 144 146	-1751491855740
SPT(16)	2044739413226683991	0 2 38 60 108 126 140 156 242 258 272 290 338 360 396 398	-1688909066826
SPT(16)	2044739758930391113	0 6 28 34 48 66 78 96 148 166 178 196 210 216 238 244	-1343205359704
TPT(14)	2044740026822178767	0 2 72 74 90 92 210 212 222 224 240 242 300 302	-1075313572050
STPT(10)	2044740725721780209	0 2 12 14 30 32 48 50 60 62	-376413970608
STPT(10)	2044740818459840489	0 2 18 20 30 32 42 44 60 62	-283675910328
SPT(16)	2044741166966693879	0 78 92 162 258 260 288 290 360 362 390 392 488 558 572 650	64830943062
STPT(10)	2044741460547624101	0 2 6 8 48 50 90 92 96 98	358411873284
SPT(16)	2044741484681708641	0 6 12 48 52 78 90 166 192 268 280 306 310 346 352 358	382545957824
SPT(16)	2044741514980803911	0 30 32 42 48 68 96 108 230 242 270 290 296 306 308 338	412845053094
STPT(10)	2044742195930524001	0 2 6 8 18 20 30 32 36 38	1093794773184