Prime p₀= 1396889925732521021 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 28 2 34 2 28 2 58 2 (?)
a_n: 0 2 60 62 90 92 126 128 156 158 216 218
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: 218
Found by: Steve Dodd
db: batch=77, k=12, 2 58 2 28 2 34

STPT(10)	1396888705306410917	0 2 30 32 42 44 54 56 84 86	-1220426110104
STPT(10)	1396889330658012461	0 2 6 8 48 50 90 92 96 98	-595074508560
STPT(12)	1396889611412969447	0 2 42 44 54 56 90 92 102 104 144 146	-314319551574
TPT(14)	1396889669158058429	0 2 48 50 102 104 168 170 180 182 378 380 390 392	-256574462592
SPT(16)	1396889701190497187	0 6 50 66 84 114 120 146 150 176 182 212 230 246 290 296	-224542023834
SPT(16)	1396889710497152423	0 18 60 80 116 144 158 180 194 216 230 258 294 314 356 374	-215235368598
TPT(14)	1396889925732521021	0 2 60 62 90 92 126 128 156 158 216 218 258 260	0
STPT(10)	1396890170851009589	0 2 18 20 30 32 42 44 60 62	245118488568
SPT(16)	1396890522674957071	0 40 58 72 88 100 108 130 150 172 180 192 208 222 240 280	596942436050
SPT(16)	1396890782240792273	0 8 14 66 114 140 200 218 276 294 354 380 428 480 486 494	856508271252
SPT(16)	1396890820419496861	0 40 166 208 268 280 288 316 342 370 378 390 450 492 618 658	894686975840