Prime p₀= 2286558583856933801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 58 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 120 122 156 158 198 200 216 218
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: 218
Found by: rlacr
db: batch=81, k=14, 16 40 58 34 40 16

SPT(16)	2286557977712060407	0 4 76 84 112 132 160 166 180 186 214 234 262 270 342 346	-606144873394
SPT(16)	2286557994188512777	0 40 52 54 130 166 204 252 274 322 360 396 472 474 486 526	-589668421024
SPT(16)	2286558035985735269	0 14 38 42 80 104 114 120 212 218 228 252 290 294 318 332	-547871198532
SPT(16)	2286558179715824317	0 66 142 150 160 196 202 210 226 234 240 276 286 294 370 436	-404141109484
STPT(10)	2286558238449926801	0 2 6 8 48 50 90 92 96 98	-345407007000
STPT(10)	2286558302399820341	0 2 6 8 48 50 90 92 96 98	-281457113460
SPT(16)	2286559247491754999	0 54 74 80 114 150 164 194 210 240 254 290 324 330 350 404	663634821198
TPT(14)	2286559445160249167	0 2 30 32 42 44 72 74 192 194 234 236 240 242	861303315366
SPT(16)	2286559510977248369	0 14 24 90 230 240 332 422 480 570 662 672 812 878 888 902	927120314568
SPT(16)	2286559521655246063	0 30 46 70 100 106 114 130 144 160 168 174 204 228 244 274	937798312262
SPT(16)	2286559636193883839	0 20 24 32 38 48 78 110 132 164 194 204 210 218 222 242	1052336950038