Prime p₀= 2412498345382517729 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 4 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 78 80 120 122 150 152
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: 152
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 40 2 4

SPT(16)	2412495652220325479	0 38 54 62 80 84 122 132 140 150 188 192 210 218 234 272	-2693162192250
STPT(10)	2412495663311010227	0 2 30 32 42 44 54 56 84 86	-2682071507502
STPT(10)	2412495906122750351	0 2 36 38 78 80 120 122 156 158	-2439259767378
STPT(10)	2412496121904443669	0 2 48 50 90 92 132 134 180 182	-2223478074060
STPT(10)	2412498066496527731	0 2 66 68 138 140 210 212 276 278	-278885989998
STPT(10)	2412498294810022631	0 2 36 38 78 80 120 122 156 158	-50572495098
SPT(16)	2412498475919644249	0 40 48 78 102 112 124 184 228 288 300 310 334 364 372 412	130537126520
STPT(10)	2412498660219936317	0 2 30 32 42 44 54 56 84 86	314837418588
SPT(16)	2412498979503261097	0 16 52 66 70 72 96 154 192 250 274 276 280 294 330 346	634120743368
SPT(16)	2412499934261190743	0 8 36 56 60 116 140 180 224 264 288 344 348 368 396 404	1588878673014
STPT(10)	2412499946662820657	0 2 24 26 42 44 60 62 84 86	1601280302928