Prime p₀= 741080481617198291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 76 2 58 2 28 2 10 2 (?)
a_n: 0 2 18 20 48 50 126 128 186 188 216 218 228 230
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: 230
Found by: Theadalus
db: batch=73, k=14, 16 28 76 58 28 10

SPT(16)	741079766421119603	0 44 48 128 134 156 164 186 188 210 218 240 246 326 330 374	-715196078688
SPT(16)	741079881574447321	0 58 82 88 130 148 162 180 190 208 222 240 282 288 312 370	-600042750970
TPT(14)	741079901742890231	0 2 30 32 60 62 96 98 186 188 210 212 228 230	-579874308060
SPT(16)	741080002861565429	0 12 24 62 72 104 270 314 360 404 570 602 612 650 662 674	-478755632862
STPT(10)	741080150843962541	0 2 66 68 108 110 150 152 216 218	-330773235750
SPT(16)	741080213875780327	0 24 30 42 54 70 96 112 204 220 246 262 274 286 292 316	-267741417964
SPT(16)	741080510256046897	0 30 72 76 132 136 144 184 252 292 300 304 360 364 406 436	28638848606
STPT(10)	741080804371387679	0 2 42 44 90 92 138 140 180 182	322754189388
SPT(16)	741080851628383583	0 18 38 66 84 126 168 186 188 206 248 290 308 336 356 374	370011185292
STPT(10)	741080958218982107	0 2 24 26 42 44 60 62 84 86	476601783816
SPT(16)	741081964597974331	0 22 30 36 66 72 78 82 96 100 106 112 142 148 156 178	1482980776040