Prime p₀= 2097878633295889139 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 142 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 222 224 252 254 300 302
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: 302
Found by: ChUcK
db: batch=80, k=12, 2 46 2 28 2 142

STPT(10)	2097877371226013087	0 2 12 14 42 44 72 74 84 86	-1262069876052
STPT(10)	2097877487923174577	0 2 42 44 72 74 102 104 144 146	-1145372714562
SPT(16)	2097877502523095729	0 18 60 62 74 104 122 128 144 150 168 198 210 212 254 272	-1130772793410
TPT(14)	2097878076482740997	0 2 54 56 84 86 90 92 102 104 210 212 264 266	-556813148142
STPT(10)	2097878111154104759	0 2 18 20 30 32 42 44 60 62	-522141784380
SPT(16)	2097878507963511677	0 42 50 60 62 144 152 162 164 174 182 264 266 276 284 326	-125332377462
SPT(16)	2097878733630546247	0 24 42 54 72 76 90 142 174 226 240 244 262 274 292 316	100334657108
SPT(16)	2097879362141373919	0 12 42 52 54 58 84 118 174 208 234 238 240 250 280 292	728845484780
TPT(14)	2097879582365819267	0 2 54 56 72 74 222 224 234 236 252 254 294 296	949069930128
SPT(16)	2097880045453324711	0 10 18 40 88 102 106 138 160 192 196 210 258 280 288 298	1412157435572
STPT(10)	2097880891260787769	0 2 42 44 90 92 138 140 180 182	2257964898630