Prime p₀= 4062990983927704811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 58 2 28 2 76 2 40 2 16 2 (?)
a_n: 0 2 78 80 138 140 168 170 246 248 288 290 306 308
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: 308
Found by: [AF] Kalianthys
db: batch=84, k=14, 76 58 28 76 40 16

SPT(16)	4062989336698817687	0 30 54 84 96 114 116 134 246 264 266 284 296 326 350 380	-1647228887124
SPT(16)	4062989355968171701	0 72 102 106 112 132 156 186 202 232 256 276 282 286 316 388	-1627959533110
SPT(16)	4062989608205654099	0 12 44 50 72 98 152 164 168 180 234 260 282 288 320 332	-1375722050712
SPT(16)	4062989613474691477	0 64 154 174 180 204 216 244 336 364 376 400 406 426 516 580	-1370453013334
STPT(10)	4062990456730881449	0 2 48 50 90 92 132 134 180 182	-527196823362
SPT(13)	4062990617652917597	0 12 54 132 204 210 252 294 300 372 450 492 504	-366274787214
SPT(16)	4062991264840908613	0 6 54 66 70 76 94 114 136 156 174 180 184 196 244 250	280913203802
TPT(14)	4062991383048208139	0 2 18 20 42 44 48 50 102 104 180 182 240 242	399120503328
STPT(10)	4062991402275785657	0 2 30 32 42 44 54 56 84 86	418348080846
SPT(13)	4062991466674773859	0 42 102 162 168 228 240 252 312 318 378 438 480	482747069048
STPT(10)	4062991958489213861	0 2 126 128 138 140 150 152 276 278	974561509050