Prime p₀= 1122889326273399257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: crashtech
db: batch=76, k=10, 2 58 2 10 2

SPT(16)	1122887738223602591	0 8 48 62 132 162 192 218 300 326 356 386 456 470 510 518	-1588049796666
TPT(14)	1122887998332961961	0 2 36 38 78 80 156 158 216 218 240 242 246 248	-1327940437296
STPT(10)	1122888531453682517	0 2 30 32 42 44 54 56 84 86	-794819716740
SPT(18)	1122888565454481391	0 12 30 40 76 90 96 100 102 166 168 172 178 192 228 238 256 268	-760818917866
SPT(16)	1122888801246705529	0 84 102 124 144 180 204 220 222 238 262 298 318 340 358 442	-525026693728
SPT(16)	1122889151101892659	0 58 70 72 94 144 162 168 214 220 238 288 310 312 324 382	-175171506598
STPT(10)	1122889555332367577	0 2 30 32 42 44 54 56 84 86	229058968320
STPT(10)	1122889711764191429	0 2 42 44 60 62 78 80 120 122	385490792172
STPT(10)	1122889787566702541	0 2 78 80 138 140 198 200 276 278	461293303284
STPT(10)	1122890054391207797	0 2 30 32 60 62 90 92 120 122	728117808540
TPT(14)	1122890086497958199	0 2 42 44 78 80 252 254 288 290 330 332 408 410	760224558942