Prime p₀= 2015504091202007909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 52 2 58 2 4 2 58 2 22 2 (?)
a_n: 0 2 198 200 252 254 312 314 318 320 378 380 402 404
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: 404
Found by: suriv
db: batch=80, k=14, 196 52 58 4 58 22

SPT(16)	2015502268098173293	0 10 70 88 126 130 136 148 168 180 186 190 228 246 306 316	-1823103834616
SPT(16)	2015502564124079243	0 6 36 56 66 78 80 98 156 174 176 188 198 218 248 254	-1527077928666
TPT(14)	2015502573392387159	0 2 12 14 120 122 300 302 318 320 330 332 372 374	-1517809620750
STPT(10)	2015502675244671791	0 2 6 8 48 50 90 92 96 98	-1415957336118
SPT(16)	2015502758060888471	0 48 62 68 90 92 126 138 170 182 216 218 240 246 260 308	-1333141119438
STPT(10)	2015503353377039969	0 2 42 44 60 62 78 80 120 122	-737824967940
SPT(16)	2015504401283620043	0 14 38 60 68 80 108 114 140 146 174 186 194 216 240 254	310081612134
SPT(18)	2015504483433265361	0 12 20 32 42 60 80 98 116 132 150 168 188 206 216 228 236 248	392231257452
SPT(16)	2015504569935903947	0 20 66 116 242 270 290 336 410 456 476 504 630 680 726 746	478733896038
SPT(16)	2015504897612157467	0 6 32 42 92 102 120 126 140 146 164 174 224 234 260 266	806410149558
STPT(10)	2015504898098778179	0 2 30 32 60 62 90 92 120 122	806896770270