Prime p₀= 3947985164492127947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 190 2 4 2 22 2 124 2 (?)
a_n: 0 2 12 14 42 44 234 236 240 242 264 266 390 392
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: 392
Found by: mikey
db: batch=84, k=14, 10 28 190 4 22 124

SPT(16)	3947982907021948219	0 18 40 52 84 102 112 172 270 330 340 358 390 402 424 442	-2257470179728
SPT(16)	3947983672929797561	0 20 42 60 126 128 146 170 198 222 240 242 308 326 348 368	-1491562330386
SPT(16)	3947983957106558353	0 34 64 70 78 88 108 118 180 190 210 220 228 234 264 298	-1207385569594
STPT(10)	3947984227455591467	0 2 42 44 72 74 102 104 144 146	-937036536480
STPT(10)	3947984315468595287	0 2 30 32 72 74 114 116 144 146	-849023532660
STPT(10)	3947984512016288279	0 2 48 50 90 92 132 134 180 182	-652475839668
SPT(16)	3947985555275470573	0 36 46 78 88 138 168 184 210 226 256 306 316 348 358 394	390783342626
SPT(16)	3947985697845595597	0 22 34 52 64 72 90 112 114 136 154 162 174 192 204 226	533353467650
STPT(10)	3947986104586141901	0 2 6 8 48 50 90 92 96 98	940094013954
SPT(18)	3947986423858275787	0 4 42 72 76 112 130 132 156 160 184 186 204 240 244 274 312 316	1259366147840
STPT(10)	3947986450642941137	0 2 54 56 72 74 90 92 144 146	1286150813190