Prime p₀= 3751081397291289869 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: DGPickett
db: batch=84, k=12, 2 10 2 28 2 34

STPT(14)	3751080086897937839	0 2 12 14 42 44 90 92 138 140 168 170 180 182	-1310393352030
TPT(16)	3751080086897937839	0 2 12 14 42 44 90 92 138 140 168 170 180 182 192 194	-1310393352030
SPT(16)	3751080394415987267	0 12 56 60 84 96 164 186 230 252 320 332 356 360 404 416	-1002875302602
SPT(16)	3751080694179259853	0 24 44 48 54 60 114 126 128 140 194 200 206 210 230 254	-703112030016
STPT(10)	3751081015384211417	0 2 30 32 42 44 54 56 84 86	-381907078452
STPT(10)	3751081098697939619	0 2 18 20 30 32 42 44 60 62	-298593350250
SPT(16)	3751082628666604709	0 20 32 92 114 234 254 284 300 330 350 470 492 552 564 584	1231375314840
STPT(10)	3751082946105806921	0 2 30 32 78 80 126 128 156 158	1548814517052
SPT(16)	3751083051617388349	0 10 30 42 48 88 118 130 132 144 174 214 220 232 252 262	1654326098480
SPT(16)	3751083108595298981	0 36 38 96 102 108 116 128 150 162 170 176 182 240 242 278	1711304009112
SPT(16)	3751083172508861209	0 54 72 94 102 132 144 160 192 208 220 250 258 280 298 352	1775217571340