Prime p₀= 741007369722151529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 16 2 178 2 76 2 (?)
a_n: 0 2 30 32 60 62 72 74 90 92 270 272 348 350
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: 350
Found by: Theadalus
db: batch=73, k=14, 28 28 10 16 178 76

STPT(10)	741005943635421551	0 2 6 8 48 50 90 92 96 98	-1426086729978
SPT(16)	741006272682733951	0 28 40 48 90 106 108 136 150 178 180 196 238 246 258 286	-1097039417578
SPT(16)	741006816003606667	0 4 12 30 72 106 114 120 166 172 180 214 256 274 282 286	-553718544862
STPT(10)	741006838227533399	0 2 18 20 30 32 42 44 60 62	-531494618130
SPT(16)	741006867950667343	0 4 6 28 36 54 76 120 124 168 190 208 216 238 240 244	-501771484186
STPT(12)	741006902006944217	0 2 12 14 54 56 150 152 192 194 204 206	-467715207312
STPT(10)	741007470553324361	0 2 30 32 78 80 126 128 156 158	100831172832
STPT(10)	741008587105369769	0 2 18 20 30 32 42 44 60 62	1217383218240
SPT(16)	741008693079075671	0 12 42 48 60 90 96 98 150 152 158 188 200 206 236 248	1323356924142
STPT(10)	741008738640500357	0 2 30 32 42 44 54 56 84 86	1368918348828
SPT(16)	741008932605775549	0 22 42 52 94 112 118 150 172 204 210 228 270 280 300 322	1562883624020