Prime p₀= 1411723114850777147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 58 2 40 2 34 2 130 2 (?)
a_n: 0 2 12 14 42 44 102 104 144 146 180 182 312 314
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: 314
Found by: Laurent Cheylat
db: batch=78, k=14, 10 28 58 40 34 130

SPT(16)	1411721563970374931	0 50 72 80 92 108 120 138 140 158 170 186 198 206 228 278	-1550880402216
TPT(14)	1411721841603537911	0 2 66 68 96 98 150 152 168 170 276 278 306 308	-1273247239236
SPT(16)	1411721943503978597	0 2 14 32 44 72 84 86 150 152 164 192 204 222 234 236	-1171346798550
STPT(10)	1411722130348547117	0 2 60 62 102 104 144 146 204 206	-984502230030
SPT(16)	1411722504300521753	0 6 8 14 68 74 116 140 174 198 240 246 300 306 308 314	-610550255394
SPT(16)	1411722801922030457	0 26 30 32 54 72 110 132 164 186 224 242 264 266 270 296	-312928746690
SPT(16)	1411723153497377327	0 26 54 74 92 102 144 150 176 182 224 234 252 272 300 326	38646600180
SPT(16)	1411723428638569703	0 38 60 66 86 114 144 150 164 170 200 228 248 254 276 314	313787792556
STPT(10)	1411723584724888397	0 2 30 32 42 44 54 56 84 86	469874111250
SPT(16)	1411724050034902193	0 36 50 56 80 84 104 120 134 150 170 174 198 204 218 254	935184125046
STPT(10)	1411724054245063379	0 2 18 20 30 32 42 44 60 62	939394286232