Prime p₀= 2036854162360684481 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 10 2 34 2 10 2 76 2 (?)
a_n: 0 2 78 80 90 92 126 128 138 140 216 218
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: 218
Found by: Orange Kid
db: batch=80, k=12, 2 76 2 10 2 34

SPT(16)	2036851984413127157	0 14 42 86 132 152 176 182 204 210 234 254 300 344 372 386	-2177947557324
SPT(16)	2036852233618335361	0 22 30 60 76 118 132 156 172 196 210 252 268 298 306 328	-1928742349120
SPT(18)	2036852285833570367	0 2 30 116 120 180 182 204 206 240 242 264 266 326 330 416 444 446	-1876527114114
STPT(10)	2036852359955166041	0 2 36 38 78 80 120 122 156 158	-1802405518440
STPT(10)	2036852697452853359	0 2 48 50 60 62 72 74 120 122	-1464907831122
SPT(16)	2036852824535828479	0 22 24 48 60 112 160 168 214 222 270 322 334 358 360 382	-1337824856002
TPT(14)	2036854579329903029	0 2 72 74 90 92 102 104 222 224 240 242 270 272	416969218548
STPT(10)	2036854622485241087	0 2 12 14 42 44 72 74 84 86	460124556606
STPT(10)	2036854790612733317	0 2 30 32 72 74 114 116 144 146	628252048836
STPT(10)	2036855042004889289	0 2 78 80 120 122 162 164 240 242	879644204808
TPT(14)	2036855165643651557	0 2 84 86 120 122 150 152 180 182 204 206 240 242	1003282967076