Prime p₀= 2044134981396905867 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: Orange Kid
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2044133861653925957	0 2 24 26 42 44 60 62 84 86	-1119742979910
SPT(20)	2044133952498803797	0 34 42 76 84 100 142 156 216 234 262 280 340 354 396 412 420 454 462 496	-1028898102070
TPT(14)	2044134134082453797	0 2 72 74 114 116 180 182 192 194 234 236 282 284	-847314452070
SPT(16)	2044134498555601741	0 16 58 76 112 132 150 178 210 238 256 276 312 330 372 388	-482841304126
TPT(14)	2044134529062766199	0 2 12 14 48 50 78 80 90 92 180 182 210 212	-452334139668
SPT(13)	2044134589446620381	0 12 36 42 90 96 126 156 162 210 216 240 252	-391950285486
SPT(16)	2044135609281260731	0 36 46 48 126 130 132 136 162 166 168 172 250 252 262 298	627884354864
SPT(16)	2044135722498177571	0 18 40 46 60 138 156 160 168 172 190 268 282 288 310 328	741101271704
TPT(14)	2044135857939262931	0 2 6 8 138 140 186 188 198 200 258 260 270 272	876542357064
TPT(16)	2044135944133708751	0 2 18 20 60 62 198 200 216 218 300 302 306 308 408 410	962736802884
STPT(10)	2044135951022023679	0 2 42 44 60 62 78 80 120 122	969625117812