Prime p₀= 2045169178980057761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 40 2 16 2 10 2 28 2 (?)
a_n: 0 2 66 68 96 98 138 140 156 158 168 170 198 200
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: 200
Found by: Dingo
db: batch=80, k=14, 64 28 40 16 10 28

SPT(16)	2045167537664950849	0 10 28 40 72 90 94 108 124 138 142 160 192 204 222 232	-1641315106912
TPT(14)	2045167654247359331	0 2 18 20 126 128 138 140 186 188 198 200 240 242	-1524732698430
SPT(16)	2045168039484402617	0 12 50 54 66 92 102 114 122 134 144 170 182 186 224 236	-1139495655144
TPT(14)	2045168337890852261	0 2 90 92 96 98 126 128 150 152 168 170 180 182	-841089205500
STPT(10)	2045168968222400477	0 2 30 32 72 74 114 116 144 146	-210757657284
STPT(10)	2045169171882885077	0 2 30 32 42 44 54 56 84 86	-7097172684
SPT(16)	2045169263209037557	0 12 36 60 70 76 82 114 172 204 210 216 226 250 274 286	84228979796
STPT(10)	2045169360328351349	0 2 78 80 120 122 162 164 240 242	181348293588
STPT(10)	2045169482550768191	0 2 36 38 78 80 120 122 156 158	303570710430
STPT(10)	2045169498659285861	0 2 30 32 78 80 126 128 156 158	319679228100
STPT(12)	2045169515154750011	0 2 30 32 60 62 96 98 126 128 156 158	336174692250