Prime p₀= 1049268293613629897 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 52 2 28 2 4 2 28 2 52 2 (?)
a_n: 0 2 54 56 84 86 90 92 120 122 174 176
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: stoneageman
db: batch=76, k=12, 2 52 2 28 2 4

SPT(16)	1049267478327312617	0 60 66 72 80 102 164 192 374 402 464 486 494 500 506 566	-815286317280
STPT(10)	1049267840970449099	0 2 18 20 30 32 42 44 60 62	-452643180798
STPT(10)	1049267958091593311	0 2 30 32 78 80 126 128 156 158	-335522036586
STPT(10)	1049267970141007691	0 2 6 8 48 50 90 92 96 98	-323472622206
SPT(16)	1049268032914958869	0 4 18 48 94 108 124 130 132 138 154 168 214 244 258 262	-260698671028
SPT(16)	1049268153938318911	0 6 10 28 36 46 48 76 102 130 132 142 150 168 172 178	-139675310986
TPT(14)	1049268293613629897	0 2 54 56 84 86 90 92 120 122 174 176 192 194	0
STPT(10)	1049268431022064607	0 2 12 14 72 74 132 134 144 146	137408434710
SPT(16)	1049268885678741703	0 10 30 76 84 106 118 156 238 276 288 310 318 364 384 394	592065111806
STPT(10)	1049269566665763239	0 2 18 20 30 32 42 44 60 62	1273052133342
SPT(16)	1049269647771277081	0 22 28 100 102 118 168 172 216 220 270 286 288 360 366 388	1354157647184