Prime p₀= 2487248573071144577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 58 2 22 2 64 2 82 2 16 2 (?)
a_n: 0 2 60 62 120 122 144 146 210 212 294 296 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 58 58 22 64 82 16

SPT(16)	2487247432761963439	0 18 28 60 64 78 88 102 130 144 154 168 172 204 214 232	-1140309181138
SPT(16)	2487247454007665639	0 14 50 78 92 188 192 224 258 290 294 390 404 432 468 482	-1119063478938
TPT(14)	2487247948469070401	0 2 30 32 96 98 108 110 156 158 168 170 198 200	-624602074176
STPT(10)	2487248117235378281	0 2 36 38 78 80 120 122 156 158	-455835766296
SPT(16)	2487248416761315329	0 14 30 44 80 90 108 150 152 194 212 222 258 272 288 302	-156309829248
STPT(10)	2487248463426421697	0 2 30 32 72 74 114 116 144 146	-109644722880
SPT(16)	2487248837333349581	0 18 20 42 50 60 66 98 150 182 188 198 206 228 230 248	264262205004
STPT(10)	2487249566461103201	0 2 6 8 18 20 30 32 36 38	993389958624
STPT(10)	2487249697418485187	0 2 24 26 42 44 60 62 84 86	1124347340610
STPT(10)	2487249762168680147	0 2 60 62 72 74 84 86 144 146	1189097535570
STPT(10)	2487249963665511041	0 2 6 8 48 50 90 92 96 98	1390594366464