Prime p₀= 2507844092797412357 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 118 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 162 164 174 176 204 206
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: 206
Found by: JayPi
db: batch=82, k=12, 2 28 2 10 2 118

SPT(16)	2507842096259852873	0 44 56 78 104 108 120 134 210 224 236 240 266 288 300 344	-1996537559484
STPT(10)	2507842356960304919	0 2 18 20 60 62 102 104 120 122	-1735837107438
SPT(16)	2507842544997437233	0 6 76 130 160 166 186 196 234 244 264 270 300 354 424 430	-1547799975124
TPT(14)	2507842966298641007	0 2 24 26 54 56 84 86 114 116 192 194 240 242	-1126498771350
STPT(10)	2507843727571845329	0 2 18 20 60 62 102 104 120 122	-365225567028
TPT(14)	2507843807033678291	0 2 36 38 48 50 78 80 90 92 120 122 168 170	-285763734066
SPT(16)	2507844495877677491	0 6 8 42 56 62 72 96 122 146 156 162 176 210 212 218	403080265134
STPT(10)	2507844685551450989	0 2 30 32 120 122 210 212 240 242	592754038632
STPT(10)	2507844941162754797	0 2 90 92 102 104 114 116 204 206	848365342440
STPT(10)	2507845152780069857	0 2 60 62 72 74 84 86 144 146	1059982657500
SPT(16)	2507845841603517683	0 8 20 24 38 60 74 78 86 90 104 126 140 144 156 164	1748806105326