Prime p₀= 776194219467620909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 10 2 28 2 28 2 (?)
a_n: 0 2 18 20 42 44 60 62 72 74 102 104 132 134
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: 134
Found by: zzuupp
db: batch=73, k=14, 16 22 16 10 28 28

SPT(16)	776193100283000339	0 2 32 44 120 134 140 164 210 234 240 254 330 342 372 374	-1119184620570
SPT(16)	776193139538595083	0 6 50 78 96 120 126 140 174 188 194 218 236 264 308 314	-1079929025826
SPT(16)	776193241367364511	0 36 48 52 70 82 108 136 162 190 216 228 246 250 262 298	-978100256398
STPT(10)	776193254184479099	0 2 12 14 90 92 168 170 180 182	-965283141810
TPT(14)	776193640699239197	0 2 12 14 24 26 180 182 210 212 222 224 240 242	-578768381712
STPT(10)	776193857732779391	0 2 6 8 48 50 90 92 96 98	-361734841518
SPT(16)	776194550500913029	0 12 28 48 58 90 94 114 178 198 202 234 244 264 280 292	331033292120
SPT(13)	776194777221558829	0 18 24 60 120 138 144 150 168 228 264 270 288	557753937920
TPT(14)	776195254315168811	0 2 6 8 30 32 156 158 168 170 258 260 270 272	1034847547902
SPT(16)	776195257726859809	0 12 34 40 90 100 160 178 324 342 402 412 462 468 490 502	1038259238900
SPT(16)	776195347997333567	0 20 30 72 80 86 114 140 156 182 210 216 224 266 276 296	1128529712658