Prime p₀= 2378067768132860537 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=81, k=10, 2 28 2 10 2

STPT(10)	2378066783455017659	0 2 42 44 90 92 138 140 180 182	-984677842878
SPT(16)	2378066838745312709	0 18 24 68 80 114 120 134 144 158 164 198 210 254 260 278	-929387547828
TPT(14)	2378066874448971437	0 2 12 14 30 32 42 44 114 116 132 134 252 254	-893683889100
TPT(14)	2378067304063054619	0 2 12 14 78 80 120 122 162 164 168 170 240 242	-464069805918
SPT(16)	2378067344954558639	0 30 44 98 140 152 158 162 260 264 270 282 324 378 392 422	-423178301898
SPT(16)	2378067357290478181	0 12 16 18 96 100 118 130 138 150 168 172 250 252 256 268	-410842382356
STPT(10)	2378067965198510411	0 2 30 32 78 80 126 128 156 158	197065649874
SPT(13)	2378068037989024009	0 12 18 102 132 150 180 210 228 258 342 348 360	269856163472
STPT(10)	2378068263517711781	0 2 30 32 78 80 126 128 156 158	495384851244
SPT(16)	2378068665027324803	0 8 18 78 114 150 164 186 188 210 224 260 296 356 366 374	896894464266
SPT(16)	2378068700258978327	0 6 32 42 90 110 132 156 170 194 216 236 284 294 320 326	932126117790