Prime p₀= 1123466527291881317 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1123465977719070109	0 22 34 60 70 82 102 112 312 322 342 354 364 390 402 424	-549572811208
STPT(10)	1123466023223308157	0 2 30 32 42 44 54 56 84 86	-504068573160
SPT(16)	1123466053863449927	0 30 42 66 72 86 102 134 402 434 450 464 470 494 506 536	-473428431390
TPT(14)	1123466222673836441	0 2 78 80 96 98 138 140 288 290 306 308 330 332	-304618044876
SPT(16)	1123466328891369899	0 14 38 42 44 78 80 104 108 132 134 168 170 174 198 212	-198400511418
SPT(20)	1123466351612125483	0 4 6 34 46 58 70 78 84 130 144 190 196 204 216 228 240 268 270 274	-175679755834
STPT(10)	1123466949706987181	0 2 6 8 18 20 30 32 36 38	422415105864
SPT(16)	1123467122785290071	0 8 18 20 26 32 62 66 92 96 126 132 138 140 150 158	595493408754
STPT(10)	1123467191083791017	0 2 60 62 102 104 144 146 204 206	663791909700
SPT(16)	1123467502878881429	0 44 48 68 92 110 152 162 230 240 282 300 324 344 348 392	975587000112
SPT(16)	1123467536122904569	0 18 64 88 100 102 114 232 240 358 370 372 384 408 454 472	1008831023252