Prime p₀= 2707783507021828721 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 52 2 4 2 52 2 64 2 (?)
a_n: 0 2 66 68 120 122 126 128 180 182 246 248
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: 248
Found by: conf [MM]
db: batch=82, k=12, 2 64 2 52 2 4

SPT(16)	2707781937097169641	0 10 42 46 48 108 120 190 198 268 280 340 342 346 378 388	-1569924659080
STPT(10)	2707781972128071197	0 2 60 62 72 74 84 86 144 146	-1534893757524
TPT(14)	2707782060790068641	0 2 96 98 108 110 120 122 168 170 198 200 210 212	-1446231760080
STPT(10)	2707782126498838061	0 2 30 32 78 80 126 128 156 158	-1380522990660
TPT(14)	2707782175682845277	0 2 90 92 102 104 120 122 174 176 342 344 354 356	-1331338983444
SPT(16)	2707782466881558559	0 10 28 48 54 70 82 94 108 120 132 148 154 174 192 202	-1040140270162
SPT(16)	2707783783758631321	0 6 42 46 78 102 186 220 228 262 346 370 402 406 442 448	276736802600
STPT(10)	2707783860503727287	0 2 42 44 72 74 102 104 144 146	353481898566
SPT(16)	2707784316938546849	0 48 80 128 170 230 234 260 288 314 318 378 420 468 500 548	809916718128
SPT(16)	2707784703902009971	0 42 82 136 162 180 192 220 222 250 262 280 306 360 400 442	1196880181250
SPT(16)	2707784779530578183	0 14 50 56 74 90 116 150 200 234 260 276 294 300 336 350	1272508749462