Prime p₀= 1377270954416221589 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 28 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 60 62 72 74 90 92
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: 92
Found by: emoga
db: batch=77, k=12, 2 16 2 10 2 28

STPT(10)	1377270429455857367	0 2 12 14 72 74 132 134 144 146	-524960364222
SPT(16)	1377270556051564871	0 30 56 92 120 132 140 146 156 162 170 182 210 246 272 302	-398364656718
STPT(10)	1377270622737008339	0 2 18 20 30 32 42 44 60 62	-331679213250
SPT(16)	1377270657723662453	0 8 14 36 66 90 98 108 146 156 164 188 218 240 246 254	-296692559136
STPT(10)	1377270705230433437	0 2 30 32 72 74 114 116 144 146	-249185788152
STPT(10)	1377270761574578639	0 2 18 20 30 32 42 44 60 62	-192841642950
SPT(16)	1377271010696938381	0 100 148 150 168 238 250 282 358 390 402 472 490 492 540 640	56280716792
STPT(10)	1377271049488892807	0 2 12 14 42 44 72 74 84 86	95072671218
SPT(16)	1377271379411156839	0 42 88 162 168 214 240 250 252 262 288 334 340 414 460 502	424994935250
SPT(16)	1377271673816786087	0 14 36 44 84 90 104 110 156 162 176 182 222 230 252 266	719400564498
SPT(16)	1377271867413336289	0 40 48 52 54 90 178 208 234 264 352 388 390 394 402 442	912997114700