Prime p₀= 1123492630230591431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 10 2 46 2 220 2 58 2 (?)
a_n: 0 2 66 68 96 98 108 110 156 158 378 380 438 440
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: 440
Found by: Theadalus
db: batch=76, k=14, 64 28 10 46 220 58

STPT(10)	1123491090857169701	0 2 6 8 18 20 30 32 36 38	-1539373421730
SPT(16)	1123491699653009461	0 46 78 90 112 192 208 232 276 300 316 396 418 430 462 508	-930577581970
STPT(10)	1123491722284294541	0 2 6 8 48 50 90 92 96 98	-907946296890
SPT(16)	1123492078527041543	0 24 56 66 78 126 134 138 146 150 158 206 218 228 260 284	-551703549888
SPT(16)	1123492150599496297	0 6 12 42 54 60 124 130 156 162 226 232 244 274 280 286	-479631095134
SPT(20)	1123492382500824793	0 6 10 34 94 118 228 238 298 360 364 426 486 496 606 630 690 714 718 724	-247729766638
SPT(16)	1123492660279042307	0 2 14 24 36 56 62 66 140 144 150 170 182 192 204 206	30048450876
SPT(16)	1123492687953586331	0 2 12 30 50 56 80 90 128 138 162 168 188 206 216 218	57722994900
SPT(16)	1123492707353366783	0 20 60 108 138 164 174 186 188 200 210 236 266 314 354 374	77122775352
TPT(14)	1123492809358020107	0 2 24 26 114 116 144 146 180 182 222 224 312 314	179127428676
STPT(10)	1123493637173160101	0 2 30 32 60 62 90 92 120 122	1006942568670