Prime p₀= 2568705503531029439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 100 2 28 2 28 2 34 2 (?)
a_n: 0 2 42 44 90 92 192 194 222 224 252 254 288 290
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: 290
Found by: Penguin
db: batch=82, k=14, 40 46 100 28 28 34

STPT(10)	2568704392976343617	0 2 30 32 72 74 114 116 144 146	-1110554685822
SPT(16)	2568704528252812283	0 6 14 26 38 54 80 96 188 204 230 246 258 270 278 284	-975278217156
SPT(16)	2568704619535743581	0 8 12 18 36 50 90 116 162 188 228 242 260 266 270 278	-883995285858
SPT(16)	2568704683742233241	0 30 60 80 86 108 168 182 186 200 260 282 288 308 338 368	-819788796198
SPT(16)	2568704901973273519	0 4 40 54 58 60 70 84 184 198 208 210 214 228 264 268	-601557755920
STPT(10)	2568704910300269969	0 2 42 44 90 92 138 140 180 182	-593230759470
STPT(10)	2568705505709703299	0 2 42 44 60 62 78 80 120 122	2178673860
STPT(10)	2568705706428067439	0 2 48 50 60 62 72 74 120 122	202897038000
SPT(16)	2568705829902747239	0 48 84 92 132 158 200 284 288 372 414 440 480 488 524 572	326371717800
TPT(14)	2568706867127985251	0 2 90 92 108 110 126 128 150 152 180 182 330 332	1363596955812
TPT(14)	2568707012795210867	0 2 54 56 180 182 222 224 240 242 294 296 360 362	1509264181428