Prime p₀= 3978742760344682639 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: mikey
db: batch=84, k=12, 2 10 2 58 2 4

SPT(16)	3978741271702738349	0 32 72 78 92 98 120 128 144 152 174 180 194 200 240 272	-1488641944290
STPT(10)	3978741481728413339	0 2 30 32 60 62 90 92 120 122	-1278616269300
SPT(16)	3978741747813200887	0 16 30 60 102 124 156 186 220 250 282 304 346 376 390 406	-1012531481752
SPT(16)	3978742052181506417	0 20 30 84 134 152 164 174 212 222 234 252 302 356 366 386	-708163176222
TPT(16)	3978742382356533497	0 2 30 32 114 116 180 182 192 194 312 314 354 356 390 392	-377988149142
STPT(10)	3978742393065124379	0 2 30 32 60 62 90 92 120 122	-367279558260
SPT(16)	3978743615533030427	0 6 24 54 62 66 74 84 122 132 140 144 152 182 200 206	855188347788
STPT(10)	3978744030278527847	0 2 30 32 42 44 54 56 84 86	1269933845208
SPT(16)	3978744227435422051	0 6 12 40 70 106 126 148 150 172 192 228 258 286 292 298	1467090739412
STPT(10)	3978744299738847839	0 2 48 50 90 92 132 134 180 182	1539394165200
STPT(10)	3978744841642108787	0 2 30 32 42 44 54 56 84 86	2081297426148