Prime p₀= 2325160660433826077 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: JonS
db: batch=81, k=12, 2 28 2 10 2 46

STPT(10)	2325159006905482091	0 2 36 38 78 80 120 122 156 158	-1653528343986
STPT(10)	2325159307388756087	0 2 60 62 72 74 84 86 144 146	-1353045069990
STPT(10)	2325160018091207621	0 2 36 38 78 80 120 122 156 158	-642342618456
STPT(10)	2325160139542723331	0 2 36 38 78 80 120 122 156 158	-520891102746
STPT(10)	2325160370292599009	0 2 18 20 30 32 42 44 60 62	-290141227068
SPT(16)	2325160392539045183	0 14 24 26 80 114 194 198 206 210 290 324 378 380 390 404	-267894780894
TPT(14)	2325160825624478069	0 2 18 20 42 44 138 140 198 200 222 224 228 230	165190651992
SPT(16)	2325160856487157669	0 4 70 78 88 100 102 112 180 190 192 204 214 222 288 292	196053331592
SPT(16)	2325161135749214767	0 12 46 82 90 154 166 196 270 300 312 376 384 420 454 466	475315388690
STPT(10)	2325161136844869017	0 2 30 32 60 62 90 92 120 122	476411042940
STPT(10)	2325161405605551179	0 2 42 44 60 62 78 80 120 122	745171725102