Prime p₀= 1298051837181465029 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 34 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 108 110 138 140 180 182
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: 182
Found by: stoneageman
db: batch=77, k=12, 2 40 2 28 2 34

SPT(16)	1298051026825148389	0 22 48 54 78 114 120 138 184 202 208 244 268 274 300 322	-810356316640
SPT(16)	1298051077680092977	0 30 40 66 70 112 126 132 244 250 264 306 310 336 346 376	-759501372052
SPT(16)	1298051199897614263	0 10 24 36 76 78 84 90 154 160 166 168 208 220 234 244	-637283850766
STPT(10)	1298051409499838429	0 2 42 44 60 62 78 80 120 122	-427681626600
SPT(16)	1298051610694282039	0 4 18 52 72 94 100 102 220 222 228 250 270 304 318 322	-226487182990
STPT(10)	1298051640758680277	0 2 30 32 42 44 54 56 84 86	-196422784752
STPT(10)	1298051887839998111	0 2 6 8 18 20 30 32 36 38	50658533082
SPT(16)	1298051889658149799	0 10 12 18 24 34 40 54 118 132 138 148 154 160 162 172	52476684770
SPT(16)	1298052216543097189	0 4 30 88 94 108 144 160 168 184 220 234 240 298 324 328	379361632160
STPT(10)	1298052216803361779	0 2 42 44 90 92 138 140 180 182	379621896750
TPT(14)	1298052221546325569	0 2 30 32 42 44 78 80 102 104 258 260 288 290	384364860540