Prime p₀= 1404073613064596471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 118 2 4 2 28 2 10 2 (?)
a_n: 0 2 30 32 60 62 180 182 186 188 216 218 228 230
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=78, k=14, 28 28 118 4 28 10

SPT(16)	1404072734151925729	0 12 28 42 58 72 78 124 138 184 190 204 220 234 250 262	-878912670742
TPT(14)	1404072760573292279	0 2 42 44 108 110 162 164 192 194 198 200 222 224	-852491304192
SPT(16)	1404072831959355007	0 52 90 94 102 114 130 136 150 156 172 184 192 196 234 286	-781105241464
SPT(16)	1404072942216607703	0 6 8 56 78 80 84 138 176 230 234 236 258 306 308 314	-670847988768
SPT(16)	1404072989839558391	0 48 62 86 90 96 132 138 170 176 212 218 222 246 260 308	-623225038080
SPT(16)	1404073585752707501	0 8 20 62 90 98 186 212 246 272 360 368 396 438 450 458	-27311888970
SPT(16)	1404073615125489703	0 24 30 66 70 84 126 148 156 178 220 234 238 274 280 304	2060893232
TPT(14)	1404073654695938981	0 2 30 32 60 62 126 128 186 188 198 200 306 308	41631342510
STPT(10)	1404073970470276289	0 2 30 32 60 62 90 92 120 122	357405679818
STPT(10)	1404074065211394527	0 2 30 32 42 44 54 56 84 86	452146798056
STPT(12)	1404074633613544229	0 2 42 44 72 74 120 122 150 152 192 194	1020548947758