Prime p₀= 2077011110898299117 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 4 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 90 92 150 152 174 176
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: 176
Found by: Landjunge
db: batch=80, k=12, 2 22 2 58 2 4

STPT(10)	2077009370092767191	0 2 6 8 48 50 90 92 96 98	-1740805531926
TPT(14)	2077009585578118601	0 2 90 92 126 128 156 158 168 170 198 200 216 218	-1525320180516
STPT(10)	2077009605610908149	0 2 18 20 30 32 42 44 60 62	-1505287390968
SPT(16)	2077010592716744089	0 18 60 72 84 88 114 124 198 208 234 238 250 262 304 322	-518181555028
SPT(16)	2077010596646180089	0 4 12 24 42 82 100 154 168 222 240 280 298 310 318 322	-514252119028
STPT(10)	2077011055272758159	0 2 18 20 60 62 102 104 120 122	-55625540958
STPT(10)	2077011332576113991	0 2 30 32 78 80 126 128 156 158	221677814874
SPT(16)	2077011462188745727	0 10 16 64 66 84 100 120 130 150 166 184 186 234 240 250	351290446610
SPT(16)	2077011555719471731	0 6 48 72 100 106 132 178 180 226 252 258 286 310 352 358	444821172614
STPT(10)	2077011705065447177	0 2 30 32 42 44 54 56 84 86	594167148060
SPT(16)	2077011822969914693	0 14 44 74 78 98 120 140 288 308 330 350 354 384 414 428	712071615576