Prime p₀= 915773224371541769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 100 2 94 2 28 2 118 2 (?)
a_n: 0 2 48 50 60 62 162 164 258 260 288 290 408 410
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: 410
Found by: Theadalus
db: batch=76, k=14, 46 10 100 94 28 118

SPT(16)	915772262649461117	0 14 36 54 60 104 140 150 176 186 222 266 272 290 312 326	-961722080652
STPT(10)	915772277368167587	0 2 30 32 42 44 54 56 84 86	-947003374182
SPT(16)	915772421950706009	0 20 50 54 72 104 138 174 218 254 288 320 338 342 372 392	-802420835760
TPT(14)	915772842652044449	0 2 18 20 48 50 78 80 252 254 282 284 330 332	-381719497320
SPT(16)	915772953497360027	0 60 66 80 114 146 164 174 182 192 210 242 276 290 296 356	-270874181742
STPT(10)	915773096695460357	0 2 54 56 72 74 90 92 144 146	-127676081412
SPT(16)	915773492759612959	0 28 42 94 112 124 132 192 250 310 318 330 348 400 414 442	268388071190
TPT(16)	915774039129699641	0 2 6 8 108 110 138 140 210 212 258 260 336 338 348 350	814758157872
STPT(10)	915774407328142277	0 2 24 26 42 44 60 62 84 86	1182956600508
SPT(16)	915774467552700421	0 18 22 40 46 58 96 100 108 112 150 162 168 186 190 208	1243181158652
TPT(14)	915774493499695559	0 2 30 32 42 44 72 74 132 134 198 200 228 230	1269128153790