Prime p₀= 3030414111338081231 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 40 2 28 2 16 2 28 2 (?)
a_n: 0 2 30 32 36 38 78 80 108 110 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=14, 28 4 40 28 16 28

STPT(10)	3030412810477630619	0 2 18 20 30 32 42 44 60 62	-1300860450612
SPT(16)	3030413109005368651	0 10 22 36 78 88 90 136 162 208 210 220 262 276 288 298	-1002332712580
SPT(16)	3030413219755236277	0 22 42 46 76 106 112 154 162 204 210 240 270 274 294 316	-891582844954
SPT(16)	3030413748880475059	0 12 18 34 60 78 120 138 154 172 214 232 258 274 280 292	-362457606172
TPT(14)	3030413800325523527	0 2 12 14 24 26 42 44 60 62 84 86 144 146	-311012557704
SPT(16)	3030414007910703763	0 6 16 24 88 94 100 118 126 144 150 156 220 228 238 244	-103427377468
STPT(10)	3030414234011009141	0 2 6 8 18 20 30 32 36 38	122672927910
SPT(16)	3030414478954932101	0 42 86 110 120 138 146 162 236 252 260 278 288 312 356 398	367616850870
SPT(16)	3030414545389715359	0 10 12 18 28 30 58 82 210 234 262 264 274 280 282 292	434051634128
SPT(16)	3030415286215012061	0 60 92 126 156 158 170 182 186 198 210 212 242 276 308 368	1174876930830
SPT(16)	3030416030248961359	0 48 52 84 124 150 162 174 238 250 262 288 328 360 364 412	1918910880128