Prime p₀= 1300563456949751117 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 112 2 64 2 112 2 28 2 (?)
a_n: 0 2 30 32 144 146 210 212 324 326 354 356
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: 356
Found by: HenkM
db: batch=77, k=12, 2 28 2 112 2 64

SPT(16)	1300562045504494151	0 8 12 18 36 38 92 222 266 396 450 452 470 476 480 488	-1411445256966
STPT(10)	1300562135665249157	0 2 30 32 42 44 54 56 84 86	-1321284501960
STPT(10)	1300562708613494927	0 2 42 44 72 74 102 104 144 146	-748336256190
SPT(16)	1300562748104639111	0 50 56 60 66 80 92 96 182 186 198 212 218 222 228 278	-708845112006
STPT(10)	1300562794103037131	0 2 6 8 18 20 30 32 36 38	-662846713986
SPT(16)	1300562838166668653	0 38 48 80 90 114 126 210 254 338 350 374 384 416 426 464	-618783082464
SPT(16)	1300563557047642553	0 26 78 116 120 138 158 164 240 246 266 284 288 326 378 404	100097891436
STPT(10)	1300563570192903629	0 2 18 20 30 32 42 44 60 62	113243152512
SPT(16)	1300563654864768863	0 38 50 108 140 174 186 216 218 248 260 294 326 384 396 434	197915017746
STPT(10)	1300563700900616147	0 2 30 32 72 74 114 116 144 146	243950865030
SPT(16)	1300564119766675171	0 22 28 52 88 100 126 148 150 172 198 210 246 270 276 298	662816924054