Prime p₀= 2440959309083463767 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=12, 2 40 2 16 2 22

SPT(16)	2440958254815972169	0 12 24 40 64 132 154 220 234 300 322 390 414 430 442 454	-1054267491598
STPT(10)	2440958264730765719	0 2 30 32 60 62 90 92 120 122	-1044352698048
STPT(10)	2440958281152384809	0 2 12 14 30 32 48 50 60 62	-1027931078958
STPT(10)	2440958413393291679	0 2 18 20 30 32 42 44 60 62	-895690172088
SPT(16)	2440959208818454099	0 24 28 48 58 84 114 124 144 154 184 210 220 240 244 268	-100265009668
SPT(16)	2440959292054574033	0 44 56 110 114 140 164 176 198 210 234 260 264 318 330 374	-17028889734
STPT(10)	2440959656370878141	0 2 36 38 78 80 120 122 156 158	347287414374
SPT(16)	2440959806092367657	0 12 54 60 62 80 114 144 152 182 216 234 236 242 284 296	497008903890
SPT(16)	2440960112893773859	0 90 150 154 168 178 192 244 318 370 384 394 408 412 472 562	803810310092
SPT(16)	2440960403049754507	0 42 64 70 82 120 204 210 256 262 346 384 396 402 424 466	1093966290740
STPT(10)	2440960615935320597	0 2 30 32 42 44 54 56 84 86	1306851856830