Prime p₀= 2829704845358698049 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: JayPi
db: batch=82, k=12, 2 10 2 28 2 34

STPT(10)	2829704030369386241	0 2 30 32 78 80 126 128 156 158	-814989311808
STPT(10)	2829704206252997399	0 2 18 20 30 32 42 44 60 62	-639105700650
STPT(10)	2829704257992452759	0 2 42 44 120 122 198 200 240 242	-587366245290
SPT(16)	2829704558607546703	0 6 40 48 66 108 118 130 174 186 196 238 256 264 298 304	-286751151346
STPT(10)	2829704569057049441	0 2 6 8 18 20 30 32 36 38	-276301648608
SPT(16)	2829704830814629039	0 4 10 42 48 52 60 70 72 82 90 94 100 132 138 142	-14544069010
STPT(10)	2829705053807330297	0 2 30 32 42 44 54 56 84 86	208448632248
STPT(10)	2829705276011248301	0 2 6 8 18 20 30 32 36 38	430652550252
STPT(10)	2829705552240246047	0 2 30 32 42 44 54 56 84 86	706881547998
SPT(16)	2829706370566947479	0 12 102 150 152 174 192 210 332 350 368 390 392 440 530 542	1525208249430
SPT(16)	2829706446869617229	0 48 74 80 90 104 132 188 204 260 288 302 312 318 344 392	1601510919180