Prime p₀= 1167022813287555779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: xii5ku
db: batch=77, k=10, 2 16 2 40 2

STPT(10)	1167021503567294117	0 2 12 14 42 44 72 74 84 86	-1309720261662
SPT(16)	1167021533398454269	0 28 40 48 100 154 160 204 208 252 258 312 364 372 384 412	-1279889101510
SPT(16)	1167021605664720389	0 24 30 42 44 90 104 122 180 198 212 258 260 272 278 302	-1207622835390
SPT(16)	1167021802610373791	0 12 102 110 138 152 170 188 222 240 258 272 300 308 398 410	-1010677181988
SPT(16)	1167022226462380709	0 18 32 38 42 78 80 110 192 222 224 260 264 270 284 302	-586825175070
TPT(14)	1167022637257717349	0 2 30 32 72 74 102 104 198 200 258 260 312 314	-176029838430
SPT(16)	1167022857038078617	0 12 40 42 52 54 82 120 154 192 220 222 232 234 262 274	43750522838
SPT(16)	1167023727960363323	0 50 56 114 144 176 186 200 204 218 228 260 290 348 354 404	914672807544
STPT(10)	1167023729598508667	0 2 12 14 42 44 72 74 84 86	916310952888
TPT(14)	1167023958947462879	0 2 30 32 48 50 228 230 240 242 258 260 282 284	1145659907100
STPT(10)	1167024032109120527	0 2 24 26 42 44 60 62 84 86	1218821564748