Prime p₀= 2704166727416005931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 124 2 10 2 10 2 76 2 10 2 (?)
a_n: 0 2 60 62 186 188 198 200 210 212 288 290 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 58 124 10 10 76 10

SPT(16)	2704165397438821117	0 36 46 72 84 102 112 124 162 174 184 202 214 240 250 286	-1329977184814
SPT(16)	2704165453014139813	0 24 30 34 108 154 166 174 220 228 240 286 360 364 370 394	-1274401866118
STPT(10)	2704165547124947957	0 2 72 74 102 104 132 134 204 206	-1180291057974
SPT(16)	2704165926527555531	0 18 20 42 48 98 158 228 272 342 402 452 458 480 482 500	-800888450400
STPT(10)	2704166040342117677	0 2 30 32 42 44 54 56 84 86	-687073888254
SPT(18)	2704166584085531563	0 18 40 78 108 120 124 126 154 270 298 300 304 316 346 384 406 424	-143330474368
SPT(16)	2704167258869340599	0 32 38 74 102 104 152 164 168 180 228 230 258 294 300 332	531453334668
SPT(16)	2704167680244147167	0 30 56 66 86 110 134 140 150 156 180 204 224 234 260 290	952828141236
STPT(10)	2704168155807230009	0 2 42 44 60 62 78 80 120 122	1428391224078
STPT(10)	2704168222199009747	0 2 24 26 42 44 60 62 84 86	1494783003816
STPT(10)	2704168485643803677	0 2 30 32 102 104 174 176 204 206	1758227797746