Prime p₀= 1014157923808843571 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: stoneageman
db: batch=76, k=10, 2 4 2 10 2

TPT(14)	1014156869801492099	0 2 102 104 132 134 300 302 408 410 432 434 480 482	-1054007351472
TPT(14)	1014157089138507761	0 2 30 32 96 98 108 110 168 170 186 188 228 230	-834670335810
STPT(10)	1014157240343363717	0 2 12 14 42 44 72 74 84 86	-683465479854
SPT(16)	1014157666679760851	0 36 42 50 66 68 92 98 150 156 180 182 198 206 212 248	-257129082720
STPT(10)	1014157870848400007	0 2 30 32 72 74 114 116 144 146	-52960443564
SPT(16)	1014157892410066457	0 6 42 50 54 126 144 162 284 302 320 392 396 404 440 446	-31398777114
STPT(10)	1014158005766944151	0 2 36 38 78 80 120 122 156 158	81958100580
SPT(16)	1014158069080726783	0 10 28 54 94 126 154 156 178 180 208 240 280 306 324 334	145271883212
STPT(10)	1014158300047516439	0 2 12 14 30 32 48 50 60 62	376238672868
SPT(16)	1014158331580693997	0 14 32 84 90 126 152 162 164 174 200 236 242 294 312 326	407771850426
SPT(16)	1014158510633283187	0 16 40 42 46 132 156 186 196 226 250 336 340 342 366 382	586824439616