Prime p₀= 887597966445620357 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 28 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 102 104 144 146 174 176
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: schoussi
db: batch=73, k=12, 2 28 2 40 2 28

SPT(16)	887596718846225711	0 12 26 56 96 108 116 138 140 162 170 182 222 252 266 278	-1247599394646
STPT(10)	887596941023146967	0 2 30 32 42 44 54 56 84 86	-1025422473390
SPT(16)	887596983005159243	0 20 66 90 108 116 168 186 248 266 318 326 344 368 414 434	-983440461114
STPT(10)	887597521372124111	0 2 6 8 48 50 90 92 96 98	-445073496246
SPT(16)	887597540456609621	0 30 66 78 158 168 200 210 368 378 410 420 500 512 548 578	-425989010736
SPT(16)	887597804601500243	0 20 38 56 98 108 150 158 198 206 248 258 300 318 336 356	-161844120114
STPT(10)	887598023428070699	0 2 42 44 90 92 138 140 180 182	56982450342
STPT(10)	887598445252960247	0 2 42 44 72 74 102 104 144 146	478807339890
SPT(16)	887598555058575937	0 40 54 76 84 120 124 150 166 192 196 232 240 262 276 316	588612955580
SPT(16)	887598758146711099	0 34 42 52 100 144 172 202 210 240 268 312 360 370 378 412	791701090742
SPT(16)	887598853980255017	0 6 32 42 56 80 90 102 104 116 126 150 164 174 200 206	887534634660