Prime p₀= 743969847169419977 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: Theadalus
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	743968345792365299	0 2 12 14 90 92 168 170 180 182	-1501377054678
SPT(16)	743968396356109189	0 4 70 90 118 130 144 150 178 184 198 210 238 258 324 328	-1450813310788
SPT(16)	743969187610161449	0 2 14 24 60 62 110 188 234 312 360 362 398 408 420 422	-659559258528
STPT(10)	743969381973583877	0 2 42 44 72 74 102 104 144 146	-465195836100
SPT(16)	743969463777222041	0 8 32 36 38 42 50 60 188 198 206 210 212 216 240 248	-383392197936
SPT(16)	743969592110005663	0 36 70 78 180 244 250 318 376 444 450 514 616 624 658 694	-255059414314
TPT(14)	743970278169125801	0 2 48 50 78 80 210 212 288 290 378 380 456 458	430999705824
TPT(14)	743970324179284589	0 2 48 50 132 134 162 164 210 212 270 272 312 314	477009864612
SPT(16)	743970791855613661	0 42 52 96 106 132 162 166 192 196 226 252 262 306 316 358	944686193684
SPT(16)	743971235643396037	0 12 106 112 114 156 184 214 222 252 280 322 324 330 424 436	1388473976060
STPT(10)	743971252967913071	0 2 6 8 48 50 90 92 96 98	1405798493094