Prime p₀= 743853688850747747 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	743853015108207743	0 50 74 90 140 204 228 258 266 296 320 384 434 450 474 524	-673742540004
TPT(14)	743853033885816917	0 2 72 74 150 152 264 266 282 284 294 296 402 404	-654964930830
SPT(16)	743853091641024931	0 12 18 48 88 90 102 112 156 166 178 180 220 250 256 268	-597209722816
SPT(16)	743853353842328329	0 12 34 42 64 70 84 90 112 118 132 138 160 168 190 202	-335008419418
SPT(16)	743853419046682181	0 12 98 108 132 146 180 228 230 278 312 326 350 360 446 458	-269804065566
STPT(10)	743853507246973379	0 2 12 14 90 92 168 170 180 182	-181603774368
STPT(12)	743853726965175521	0 2 6 8 36 38 90 92 120 122 126 128	38114427774
SPT(16)	743853909407478733	0 10 28 30 76 96 106 120 154 168 178 198 244 246 264 274	220556730986
SPT(16)	743854399130318171	0 20 26 36 48 66 138 146 282 290 362 380 392 402 408 428	710279570424
SPT(16)	743854552884985693	0 6 16 60 76 90 120 130 144 154 184 198 214 258 268 274	864034237946
STPT(10)	743855068838879297	0 2 24 26 42 44 60 62 84 86	1379988131550