Prime p₀= 2040614337301903577 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=12, 2 40 2 16 2 22

SPT(16)	2040613547911752343	0 10 34 54 78 124 136 160 294 318 330 376 400 420 444 454	-789390151234
SPT(16)	2040613937490521131	0 12 16 22 30 70 100 102 166 168 198 238 246 252 256 268	-399811382446
SPT(18)	2040614053518793201	0 12 18 22 42 96 130 150 172 186 208 228 262 316 336 340 346 358	-283783110376
SPT(16)	2040614125547547637	0 6 40 66 106 120 132 190 252 310 322 336 376 402 436 442	-211754355940
SPT(16)	2040614166397879609	0 52 64 78 82 84 172 180 202 210 298 300 304 318 330 382	-170904023968
STPT(10)	2040614290260556469	0 2 18 20 30 32 42 44 60 62	-47041347108
STPT(10)	2040614418984060107	0 2 24 26 42 44 60 62 84 86	81682156530
STPT(10)	2040614804677719371	0 2 6 8 48 50 90 92 96 98	467375815794
SPT(16)	2040616029652669279	0 4 52 88 108 154 214 222 250 258 318 364 384 420 468 472	1692350765702
STPT(10)	2040616366629619769	0 2 48 50 90 92 132 134 180 182	2029327716192
SPT(16)	2040616381090079029	0 24 40 42 90 94 118 124 138 144 168 172 220 222 238 262	2043788175452