Prime p₀= 741161112868253219 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: Theadalus
db: batch=73, k=12, 2 28 2 10 2 16

STPT(10)	741158926234908821	0 2 6 8 48 50 90 92 96 98	-2186633344398
STPT(10)	741159181506975557	0 2 30 32 42 44 54 56 84 86	-1931361277662
STPT(10)	741159908452003499	0 2 18 20 30 32 42 44 60 62	-1204416249720
SPT(16)	741159909396320033	0 8 14 86 114 138 146 156 158 168 176 200 228 300 306 314	-1203471933186
SPT(16)	741160633935911593	0 4 18 40 76 78 88 96 118 126 136 138 174 196 210 214	-478932341626
SPT(16)	741160790906223521	0 42 78 86 116 138 140 162 326 348 350 372 402 410 446 488	-321962029698
SPT(16)	741161133651100517	0 56 80 90 116 132 146 150 182 186 200 216 242 252 276 332	20782847298
STPT(10)	741161885610817007	0 2 30 32 42 44 54 56 84 86	772742563788
STPT(10)	741162218918832479	0 2 18 20 30 32 42 44 60 62	1106050579260
SPT(16)	741162388451065213	0 28 36 94 96 100 106 150 154 198 204 208 210 268 276 304	1275582811994
STPT(10)	741162451953522491	0 2 6 8 48 50 90 92 96 98	1339085269272