Prime p₀= 2570470554576355349 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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 40 2 4 2 22

STPT(10)	2570468128419546917	0 2 42 44 72 74 102 104 144 146	-2426156808432
STPT(10)	2570468191546386491	0 2 6 8 48 50 90 92 96 98	-2363029968858
STPT(10)	2570468386588094789	0 2 18 20 30 32 42 44 60 62	-2167988260560
STPT(10)	2570469692842775159	0 2 18 20 60 62 102 104 120 122	-861733580190
SPT(16)	2570470166367073181	0 2 38 78 98 138 150 170 288 308 320 360 380 420 456 458	-388209282168
SPT(16)	2570470536457877399	0 8 38 42 62 68 90 110 120 140 162 168 188 192 222 230	-18118477950
STPT(10)	2570470651740974501	0 2 30 32 78 80 126 128 156 158	97164619152
STPT(10)	2570470917911892509	0 2 42 44 90 92 138 140 180 182	363335537160
STPT(10)	2570471081684824847	0 2 60 62 72 74 84 86 144 146	527108469498
SPT(13)	2570471124331413371	0 18 48 60 66 90 138 186 210 216 228 258 276	569755058022
SPT(16)	2570471249672938919	0 14 20 24 68 98 110 140 192 222 234 264 308 312 318 332	695096583570