Prime p₀= 725816594379470687 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 52 2 4 2 52 2 28 2 (?)
a_n: 0 2 30 32 84 86 90 92 144 146 174 176
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: 176
Found by: fzs600
db: batch=73, k=12, 2 28 2 52 2 4

SPT(16)	725815484174373547	0 10 34 36 42 66 94 100 126 132 160 184 190 192 216 226	-1110205097140
SPT(16)	725815614317580923	0 6 36 66 68 78 90 104 210 224 236 246 248 278 308 314	-980061889764
SPT(16)	725815671437317369	0 94 108 124 130 154 168 178 210 220 234 258 264 280 294 388	-922942153318
STPT(10)	725816226465867809	0 2 18 20 30 32 42 44 60 62	-367913602878
STPT(10)	725816274007472699	0 2 18 20 60 62 102 104 120 122	-320371997988
SPT(16)	725816392767689981	0 42 60 80 90 120 132 156 176 200 212 242 252 272 290 332	-201611780706
STPT(10)	725816618724826787	0 2 12 14 72 74 132 134 144 146	24345356100
STPT(10)	725816815828734527	0 2 60 62 72 74 84 86 144 146	221449263840
SPT(16)	725817022936159513	0 6 28 36 60 76 78 88 228 238 240 256 280 288 310 316	428556688826
STPT(10)	725817096323238089	0 2 18 20 30 32 42 44 60 62	501943767402
SPT(16)	725817349947012497	0 30 42 62 72 96 110 140 282 312 326 350 360 380 392 422	755567541810