Prime p₀= 2779848688517856971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 10 2 10 2 16 2 58 2 (?)
a_n: 0 2 78 80 96 98 108 110 120 122 138 140 198 200
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 200
Found by: RFGuy_KCCO
db: batch=82, k=14, 76 16 10 10 16 58

STPT(12)	2779846887421100039	0 2 12 14 30 32 72 74 90 92 102 104	-1801096756932
STPT(10)	2779846918575417149	0 2 18 20 30 32 42 44 60 62	-1769942439822
SPT(16)	2779847851459686043	0 36 66 100 126 136 138 150 196 208 210 220 246 280 310 346	-837058170928
STPT(10)	2779848042470245841	0 2 6 8 48 50 90 92 96 98	-646047611130
SPT(16)	2779848330536713729	0 10 12 24 30 34 42 52 132 142 150 154 160 172 174 184	-357981143242
SPT(16)	2779848640898568619	0 22 34 52 78 100 108 112 150 154 162 184 210 228 240 262	-47619288352
STPT(10)	2779848688517857049	0 2 18 20 30 32 42 44 60 62	78
STPT(10)	2779848743422311017	0 2 30 32 72 74 114 116 144 146	54904454046
STPT(10)	2779849138985228267	0 2 24 26 42 44 60 62 84 86	450467371296
SPT(16)	2779849465746073757	0 2 36 56 126 186 194 210 236 252 260 320 390 410 444 446	777228216786
SPT(16)	2779849466980149821	0 8 20 36 78 90 102 116 192 206 218 230 272 288 300 308	778462292850