Prime p₀= 1167023729598508667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Skivelitis2
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1167021802610373791	0 12 102 110 138 152 170 188 222 240 258 272 300 308 398 410	-1926988134876
SPT(16)	1167022226462380709	0 18 32 38 42 78 80 110 192 222 224 260 264 270 284 302	-1503136127958
TPT(14)	1167022637257717349	0 2 30 32 72 74 102 104 198 200 258 260 312 314	-1092340791318
STPT(10)	1167022813287555779	0 2 18 20 60 62 102 104 120 122	-916310952888
SPT(16)	1167022857038078617	0 12 40 42 52 54 82 120 154 192 220 222 232 234 262 274	-872560430050
SPT(16)	1167023727960363323	0 50 56 114 144 176 186 200 204 218 228 260 290 348 354 404	-1638145344
TPT(14)	1167023958947462879	0 2 30 32 48 50 228 230 240 242 258 260 282 284	229348954212
STPT(10)	1167024032109120527	0 2 24 26 42 44 60 62 84 86	302510611860
STPT(10)	1167024418813968899	0 2 18 20 30 32 42 44 60 62	689215460232
SPT(16)	1167024525979602853	0 16 30 94 120 138 148 150 154 156 166 184 210 274 288 304	796381094186
STPT(10)	1167024983665189541	0 2 6 8 48 50 90 92 96 98	1254066680874