Prime p₀= 2044778433616982027 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: Dingo
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2044776547382405531	0 2 36 38 78 80 120 122 156 158	-1886234576496
SPT(16)	2044776978685902229	0 28 30 40 42 60 94 114 208 228 262 280 282 292 294 322	-1454931079798
STPT(10)	2044777077134431811	0 2 66 68 138 140 210 212 276 278	-1356482550216
SPT(16)	2044777365913951369	0 4 10 54 72 78 88 112 180 204 214 220 238 282 288 292	-1067703030658
STPT(10)	2044777847708249651	0 2 6 8 48 50 90 92 96 98	-585908732376
SPT(16)	2044777954299172403	0 6 20 36 56 78 86 90 134 138 146 168 188 204 218 224	-479317809624
STPT(10)	2044778501564828171	0 2 6 8 18 20 30 32 36 38	67947846144
SPT(16)	2044778622996301823	0 30 44 50 78 108 120 138 140 158 170 200 228 234 248 278	189379319796
SPT(16)	2044778865851889931	0 30 46 52 60 66 82 100 108 126 142 148 156 162 178 208	432234907904
TPT(14)	2044778953640033459	0 2 60 62 132 134 312 314 468 470 492 494 498 500	520023051432
SPT(16)	2044779313600598117	0 14 56 86 92 114 156 182 204 230 272 294 300 330 372 386	879983616090