Prime p₀= 2768828733552422657 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: fzs600
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2768828222169875213	0 6 18 90 126 138 174 176 228 230 266 278 314 386 398 404	-511382547444
STPT(10)	2768828263695377729	0 2 18 20 30 32 42 44 60 62	-469857044928
STPT(10)	2768828293744174547	0 2 54 56 72 74 90 92 144 146	-439808248110
STPT(10)	2768828554161463229	0 2 42 44 60 62 78 80 120 122	-179390959428
STPT(10)	2768828577665198117	0 2 24 26 42 44 60 62 84 86	-155887224540
STPT(10)	2768828690188768349	0 2 18 20 30 32 42 44 60 62	-43363654308
SPT(16)	2768829830928282599	0 8 38 60 92 98 122 140 192 210 234 240 272 294 324 332	1097375859942
SPT(16)	2768830355627747309	0 2 42 108 132 150 170 204 218 252 272 290 314 380 420 422	1622075324652
STPT(10)	2768830429480707419	0 2 42 44 60 62 78 80 120 122	1695928284762
SPT(16)	2768830544560911451	0 60 76 82 102 106 112 148 150 186 192 196 216 222 238 298	1811008488794
SPT(16)	2768830616447525653	0 18 30 36 60 64 70 100 114 144 150 154 178 184 196 214	1882895102996