Prime p₀= 1460272741464439151 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 166 2 28 2 166 2 28 2 (?)
a_n: 0 2 30 32 198 200 228 230 396 398 426 428
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 428
Found by: Spectrum
db: batch=78, k=12, 2 28 2 166 2 28

STPT(10)	1460270778944947757	0 2 12 14 72 74 132 134 144 146	-1962519491394
SPT(16)	1460271136220927647	0 22 42 52 66 82 96 112 180 196 210 226 240 250 270 292	-1605243511504
SPT(16)	1460271644052450991	0 12 58 66 142 156 178 208 270 300 322 336 412 420 466 478	-1097411988160
SPT(16)	1460271747119167327	0 10 52 66 72 120 156 160 186 190 226 274 280 294 336 346	-994345271824
STPT(10)	1460272184562227117	0 2 42 44 72 74 102 104 144 146	-556902212034
STPT(10)	1460272249779022481	0 2 6 8 48 50 90 92 96 98	-491685416670
STPT(10)	1460273431873945859	0 2 18 20 30 32 42 44 60 62	690409506708
TPT(14)	1460273469016520699	0 2 30 32 48 50 90 92 132 134 228 230 270 272	727552081548
SPT(16)	1460274317608446841	0 36 42 70 76 88 112 168 190 246 270 282 288 316 322 358	1576144007690
STPT(10)	1460274327155523791	0 2 6 8 18 20 30 32 36 38	1585691084640
SPT(16)	1460275009260964811	0 12 62 90 110 116 150 176 276 302 336 342 362 390 440 452	2267796525660