Prime p₀= 1233867358862221841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1233866685652624451	0 18 26 72 80 96 150 152 156 158 212 228 236 282 290 308	-673209597390
STPT(10)	1233866828612786651	0 2 6 8 48 50 90 92 96 98	-530249435190
SPT(16)	1233867018863363407	0 4 6 34 84 102 154 174 202 222 274 292 342 370 372 376	-339998858434
TPT(14)	1233867035216176157	0 2 30 32 42 44 192 194 234 236 252 254 264 266	-323646045684
TPT(14)	1233867072315431249	0 2 78 80 90 92 150 152 168 170 180 182 222 224	-286546790592
SPT(16)	1233867179726097211	0 12 36 58 78 96 100 166 252 318 322 340 360 382 406 418	-179136124630
STPT(10)	1233867383735792327	0 2 30 32 42 44 54 56 84 86	24873570486
STPT(12)	1233867875649877199	0 2 30 32 42 44 198 200 210 212 240 242	516787655358
SPT(16)	1233868131472798919	0 38 60 74 102 138 140 248 294 402 404 440 468 482 504 542	772610577078
SPT(16)	1233868207398717853	0 30 114 174 180 190 198 208 330 340 348 358 364 424 508 538	848536496012
TPT(14)	1233868673121006491	0 2 18 20 60 62 90 92 228 230 240 242 246 248	1314258784650