Prime p₀= 751986457095691619 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 94 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 168 170 198 200 240 242
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: 242
Found by: Theadalus
db: batch=73, k=12, 2 40 2 28 2 94

SPT(16)	751985673400461139	0 22 28 52 94 162 190 208 264 282 310 378 420 444 450 472	-783695230480
SPT(16)	751985777796335261	0 2 20 32 92 132 180 186 212 218 266 306 366 378 396 398	-679299356358
SPT(16)	751985976600696077	0 44 56 80 102 114 140 162 164 186 212 224 246 270 282 326	-480494995542
SPT(16)	751986151524797083	0 4 16 94 100 108 124 166 228 270 286 294 300 378 390 394	-305570894536
SPT(16)	751986313742436991	0 28 52 60 78 102 106 108 190 192 196 220 238 246 270 298	-143353254628
SPT(16)	751986326207499521	0 20 32 36 78 92 98 102 206 210 216 230 272 276 288 308	-130888192098
SPT(16)	751986494177084029	0 54 78 94 120 184 222 232 240 250 288 352 378 394 418 472	37081392410
SPT(16)	751987195269229373	0 6 24 44 48 90 104 108 416 420 434 476 480 500 518 524	738173537754
STPT(10)	751987209343973357	0 2 42 44 72 74 102 104 144 146	752248281738
SPT(16)	751987479837516353	0 96 104 146 170 198 216 236 288 308 326 354 378 420 428 524	1022741824734
TPT(14)	751987597766205377	0 2 42 44 90 92 120 122 150 152 210 212 252 254	1140670513758