Prime p₀= 780927713776685549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 154 2 28 2 22 2 4 2 (?)
a_n: 0 2 18 20 42 44 198 200 228 230 252 254 258 260
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: 260
Found by: [SG]steini
db: batch=73, k=14, 16 22 154 28 22 4

SPT(16)	780927265511918617	0 4 24 46 70 72 100 102 154 156 184 186 210 232 252 256	-448264766932
TPT(14)	780927269079849581	0 2 186 188 216 218 240 242 378 380 390 392 420 422	-444696835968
SPT(16)	780927499219311757	0 34 40 60 70 82 84 126 130 172 174 186 196 216 222 256	-214557373792
SPT(16)	780927517046103853	0 18 34 48 76 88 114 130 264 280 306 318 346 360 376 394	-196730581696
SPT(16)	780927705442042649	0 12 38 74 108 122 140 152 210 222 240 254 288 324 350 362	-8334642900
STPT(10)	780927713407860719	0 2 42 44 120 122 198 200 240 242	-368824830
TPT(14)	780927853928647169	0 2 108 110 120 122 162 164 192 194 222 224 258 260	140151961620
SPT(16)	780927987614505953	0 6 54 56 150 164 180 210 230 260 276 290 384 386 434 440	273837820404
SPT(16)	780927989160045809	0 20 68 98 192 200 210 224 228 242 252 260 354 384 432 452	275383360260
STPT(10)	780928300423503677	0 2 30 32 42 44 54 56 84 86	586646818128
SPT(16)	780928506793903319	0 8 12 24 68 74 108 150 152 194 228 234 278 290 294 302	793017217770