Prime p₀= 1409696161844885009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 60 62 102 104 132 134 168 170 198 200 210 212
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: 212
Found by: Theadalus
db: batch=78, k=14, 58 40 28 34 28 10

STPT(10)	1409695762890956909	0 2 18 20 30 32 42 44 60 62	-398953928100
SPT(16)	1409695769701882151	0 12 30 38 48 56 80 126 212 258 282 290 300 308 326 338	-392143002858
STPT(10)	1409695839058516979	0 2 12 14 30 32 48 50 60 62	-322786368030
STPT(10)	1409695896681431207	0 2 30 32 60 62 90 92 120 122	-265163453802
SPT(16)	1409695945385768059	0 10 12 24 28 40 60 78 94 112 132 144 148 160 162 172	-216459116950
TPT(14)	1409696033168456711	0 2 30 32 60 62 96 98 150 152 168 170 198 200	-128676428298
STPT(10)	1409697313158490787	0 2 54 56 72 74 90 92 144 146	1151313605778
SPT(16)	1409697335065978877	0 36 146 156 174 176 182 206 210 234 240 242 260 270 380 416	1173221093868
STPT(10)	1409697448048224659	0 2 42 44 60 62 78 80 120 122	1286203339650
STPT(10)	1409697718088891897	0 2 12 14 42 44 72 74 84 86	1556244006888
SPT(16)	1409697776512235383	0 4 18 60 76 78 94 96 118 120 136 138 154 196 210 214	1614667350374