Prime p₀= 2238799987249816841 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 178 2 10 2 400 2 88 2 34 2 (?)
a_n: 0 2 6 8 186 188 198 200 600 602 690 692 726 728
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: 728
Found by: JayPi
db: batch=81, k=14, 4 178 10 400 88 34

SPT(16)	2238798790703729311	0 16 22 36 46 52 88 102 106 120 156 162 172 186 192 208	-1196546087530
SPT(16)	2238798810273334349	0 14 42 50 54 78 80 98 144 162 164 188 192 200 228 242	-1176976482492
SPT(16)	2238799001335660399	0 28 70 72 114 192 262 264 268 270 340 418 460 462 504 532	-985914156442
SPT(16)	2238799368451807841	0 116 140 150 182 192 198 206 312 320 326 336 368 378 402 518	-618798009000
STPT(10)	2238799776915556817	0 2 30 32 42 44 54 56 84 86	-210334260024
STPT(10)	2238799897913999039	0 2 42 44 90 92 138 140 180 182	-89335817802
SPT(16)	2238800411759983969	0 78 108 132 150 154 228 232 240 244 318 322 340 364 394 472	424510167128
SPT(16)	2238800412461370553	0 28 34 48 66 144 174 204 220 250 280 358 376 390 396 424	425211553712
SPT(16)	2238800429057756747	0 32 50 56 86 140 152 210 236 294 306 360 390 396 414 446	441807939906
STPT(10)	2238800657714884589	0 2 18 20 30 32 42 44 60 62	670465067748
STPT(10)	2238801297450323729	0 2 12 14 30 32 48 50 60 62	1310200506888