Prime p₀= 1507156403356305629 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 46 2 40 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 132 134 180 182 222 224
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: 224
Found by: Skivelitis2
db: batch=78, k=12, 2 40 2 46 2 40

SPT(16)	1507155334072781819	0 20 30 44 122 144 174 210 272 308 338 360 438 452 462 482	-1069283523810
STPT(10)	1507155638915689517	0 2 42 44 72 74 102 104 144 146	-764440616112
STPT(10)	1507155743848627487	0 2 24 26 42 44 60 62 84 86	-659507678142
TPT(14)	1507155835657160987	0 2 60 62 84 86 114 116 210 212 270 272 354 356	-567699144642
SPT(16)	1507156011366744677	0 14 56 72 74 92 102 116 120 134 144 162 164 180 222 236	-391989560952
SPT(16)	1507156284196637933	0 8 18 36 50 66 74 80 144 150 158 174 188 206 216 224	-119159667696
STPT(10)	1507156829013808067	0 2 30 32 42 44 54 56 84 86	425657502438
STPT(10)	1507156952078063057	0 2 30 32 72 74 114 116 144 146	548721757428
STPT(12)	1507157283926824457	0 2 12 14 30 32 72 74 90 92 102 104	880570518828
SPT(16)	1507157323317988759	0 42 70 72 114 148 160 162 280 282 294 328 370 372 400 442	919961683130
SPT(16)	1507157838685847011	0 6 66 70 82 102 130 180 208 258 286 306 318 322 382 388	1435329541382