Prime p₀= 816454098147575021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 40 2 10 2 106 2 88 2 (?)
a_n: 0 2 96 98 156 158 198 200 210 212 318 320 408 410
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: 410
Found by: [SG]FX
db: batch=73, k=14, 94 58 40 10 106 88

SPT(16)	816452519103413993	0 50 54 84 110 120 126 150 164 188 194 204 230 260 264 314	-1579044161028
SPT(16)	816453275824805237	0 12 24 56 84 86 90 104 132 146 150 152 180 212 224 236	-822322769784
TPT(14)	816453279386377901	0 2 36 38 48 50 228 230 366 368 426 428 450 452	-818761197120
STPT(10)	816453668520699899	0 2 18 20 30 32 42 44 60 62	-429626875122
TPT(14)	816453806401033751	0 2 66 68 96 98 108 110 168 170 210 212 306 308	-291746541270
SPT(16)	816453848732045869	0 24 34 60 108 120 168 178 210 220 268 280 328 354 364 388	-249415529152
SPT(16)	816454301341760117	0 14 56 66 80 116 126 144 176 194 204 240 254 264 306 320	203194185096
STPT(10)	816454541771474819	0 2 48 50 90 92 132 134 180 182	443623899798
SPT(16)	816455698064409049	0 58 64 72 82 84 100 114 118 132 148 150 160 168 174 232	1599916834028
STPT(10)	816455972807278049	0 2 78 80 120 122 162 164 240 242	1874659703028
SPT(16)	816456048556780517	0 2 30 116 132 182 210 240 242 272 300 350 366 452 480 482	1950409205496