Prime p₀= 3717755124809546699 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 16 2 160 2 58 2 10 2 124 2 (?)
a_n: 0 2 240 242 258 260 420 422 480 482 492 494 618 620
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: 620
Found by: [AF] Kalianthys
db: batch=84, k=14, 238 16 160 58 10 124

SPT(16)	3717752637955815391	0 6 66 72 100 106 108 126 142 160 162 168 196 202 262 268	-2486853731308
SPT(16)	3717753577260563341	0 28 70 88 100 132 138 142 156 160 166 198 210 228 270 298	-1547548983358
SPT(16)	3717753895086294809	0 44 48 110 114 128 132 152 240 260 264 278 282 344 348 392	-1229723251890
STPT(10)	3717754196704014917	0 2 90 92 102 104 114 116 204 206	-928105531782
SPT(16)	3717754341303754373	0 26 56 110 114 138 156 174 230 248 266 290 294 348 378 404	-783505792326
STPT(10)	3717754842824477069	0 2 18 20 30 32 42 44 60 62	-281985069630
SPT(16)	3717755125198238017	0 12 36 46 64 70 82 90 166 174 186 192 210 220 244 256	388691318
TPT(14)	3717755675870640791	0 2 6 8 48 50 60 62 78 80 90 92 156 158	551061094092
SPT(16)	3717755972701058257	0 30 72 102 106 112 144 154 162 172 204 210 214 244 286 316	847891511558
STPT(10)	3717755997855331181	0 2 96 98 138 140 180 182 276 278	873045784482
STPT(10)	3717756078174107909	0 2 18 20 30 32 42 44 60 62	953364561210