Prime p₀= 1126335525025030667 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: crashtech
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1126334173911908231	0 2 6 8 48 50 90 92 96 98	-1351113122436
STPT(10)	1126334335097481509	0 2 18 20 30 32 42 44 60 62	-1189927549158
SPT(16)	1126334624268206443	0 10 16 18 28 60 76 94 150 168 184 216 226 228 234 244	-900756824224
SPT(16)	1126334642154459623	0 20 84 114 138 146 198 230 264 296 348 356 380 410 474 494	-882870571044
SPT(16)	1126335318211254947	0 6 56 116 152 162 180 204 242 266 284 294 330 390 440 446	-206813775720
SPT(18)	1126335466888630763	0 30 50 144 156 204 228 246 254 300 308 326 350 398 410 504 524 554	-58136399904
SPT(16)	1126336021808660969	0 42 50 108 122 168 204 234 248 278 314 360 374 432 440 482	496783630302
STPT(10)	1126336144524813317	0 2 30 32 42 44 54 56 84 86	619499782650
SPT(16)	1126336170017489203	0 34 40 126 136 154 196 210 244 258 300 318 328 414 420 454	644992458536
TPT(14)	1126336188704733827	0 2 60 62 72 74 120 122 144 146 210 212 270 272	663679703160
SPT(16)	1126336581954008921	0 12 90 108 132 140 152 170 210 228 240 248 272 290 368 380	1056928978254