Prime p₀= 1324438210427813147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 22 2 28 2 34 2 40 2 76 2 (?)
a_n: 0 2 120 122 144 146 174 176 210 212 252 254 330 332
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: 332
Found by: Skivelitis2
db: batch=77, k=14, 118 22 28 34 40 76

SPT(16)	1324436525913207079	0 70 112 120 154 184 190 202 240 252 258 288 322 330 372 442	-1684514606068
TPT(14)	1324436860833565487	0 2 24 26 30 32 54 56 114 116 180 182 240 242	-1349594247660
STPT(10)	1324437086722011749	0 2 12 14 90 92 168 170 180 182	-1123705801398
SPT(16)	1324437091669773127	0 34 46 54 72 90 96 112 144 160 166 184 202 210 222 256	-1118758040020
STPT(10)	1324438040883352469	0 2 42 44 90 92 138 140 180 182	-169544460678
SPT(16)	1324438069268751001	0 36 48 78 82 88 90 108 400 418 420 426 430 460 472 508	-141159062146
SPT(16)	1324438908267569701	0 12 52 70 136 172 178 180 208 210 216 252 318 336 376 388	697839756554
STPT(10)	1324439095724725007	0 2 30 32 42 44 54 56 84 86	885296911860
SPT(16)	1324439392366648507	0 46 76 94 126 192 196 202 204 210 214 280 312 330 360 406	1181938835360
SPT(16)	1324439421882059233	0 24 108 136 174 178 204 256 318 370 396 400 438 466 550 574	1211454246086
SPT(16)	1324439523290789203	0 6 16 30 78 156 166 204 370 408 418 496 544 558 568 574	1312862976056