Prime p₀= 1459442186890477001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=78, k=10, 2 34 2 40 2

SPT(20)	1459439301458372141	0 50 68 90 116 140 162 168 216 248 330 362 410 416 438 462 488 510 528 578	-2885432104860
SPT(16)	1459439557574625461	0 2 48 86 102 126 156 216 242 302 332 356 372 410 456 458	-2629315851540
SPT(16)	1459440491755282709	0 18 30 72 78 84 98 102 110 114 128 134 140 182 194 212	-1695135194292
STPT(10)	1459440650814486407	0 2 12 14 42 44 72 74 84 86	-1536075990594
TPT(14)	1459440799747449599	0 2 42 44 78 80 150 152 168 170 252 254 372 374	-1387143027402
SPT(16)	1459441420031164567	0 6 34 64 72 84 106 154 162 210 232 244 252 282 310 316	-766859312434
SPT(16)	1459442246072258101	0 40 66 120 142 148 180 190 198 208 240 246 268 322 348 388	59181781100
SPT(18)	1459442428491355409	0 2 24 30 38 114 122 132 150 272 290 300 308 384 392 398 420 422	241600878408
SPT(16)	1459442500706161393	0 34 90 100 130 136 174 204 226 256 294 300 330 340 396 430	313815684392
STPT(10)	1459442798159436911	0 2 6 8 18 20 30 32 36 38	611268959910
STPT(10)	1459443726711437021	0 2 36 38 78 80 120 122 156 158	1539820960020