Prime p₀= 1241058467437622159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1241057484456983939	0 92 182 252 270 278 284 344 348 408 414 422 440 510 600 692	-982980638220
STPT(12)	1241058085966037639	0 2 60 62 102 104 108 110 150 152 210 212	-381471584520
SPT(16)	1241058179910434533	0 36 40 64 70 76 180 196 294 310 414 420 426 450 454 490	-287527187626
SPT(16)	1241058262305771017	0 14 26 42 54 80 150 162 194 206 276 302 314 330 342 356	-205131851142
SPT(16)	1241058385555732067	0 2 24 30 44 102 120 122 252 254 272 330 344 350 372 374	-81881890092
TPT(14)	1241058391542707147	0 2 54 56 60 62 90 92 132 134 174 176 180 182	-75894915012
TPT(14)	1241058651185129717	0 2 12 14 54 56 150 152 180 182 330 332 420 422	183747507558
SPT(18)	1241058730061306371	0 42 66 108 166 178 180 232 238 300 306 358 360 372 430 472 496 538	262623684212
SPT(16)	1241058825999288301	0 10 40 66 76 82 90 96 166 172 180 186 196 222 252 262	358561666142
SPT(16)	1241059024555068737	0 20 30 72 96 102 152 264 272 384 434 440 464 506 516 536	557117446578
SPT(16)	1241059152302149049	0 8 72 122 182 200 204 228 434 458 462 480 540 590 654 662	684864526890