Prime p₀= 2889338810845126667 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2889337319516956601	0 30 42 62 132 138 168 170 198 200 230 236 306 326 338 368	-1491328170066
SPT(13)	2889337493376419431	0 42 78 90 108 132 150 168 192 210 222 258 300	-1317468707236
SPT(16)	2889337864093584961	0 16 22 40 46 70 82 136 156 210 222 246 252 270 276 292	-946751541706
SPT(16)	2889337936060382783	0 14 18 36 60 98 116 120 194 198 216 254 278 296 300 314	-874784743884
STPT(10)	2889338420638004747	0 2 24 26 42 44 60 62 84 86	-390207121920
STPT(10)	2889338697268688849	0 2 18 20 30 32 42 44 60 62	-113576437818
SPT(13)	2889339227519805023	0 6 66 78 90 96 108 120 126 138 150 210 216	416674678356
STPT(10)	2889339321634035341	0 2 36 38 78 80 120 122 156 158	510788908674
SPT(16)	2889339440439173053	0 10 78 94 106 150 178 190 264 276 304 348 360 376 444 454	629594046386
STPT(10)	2889339474218669819	0 2 42 44 90 92 138 140 180 182	663373543152
STPT(10)	2889340417787550239	0 2 42 44 60 62 78 80 120 122	1606942423572