Prime p₀= 2502042890647576847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 70 2 118 2 16 2 (?)
a_n: 0 2 30 32 72 74 102 104 174 176 294 296 312 314
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, 28 40 28 70 118 16

SPT(16)	2502040390456399673	0 6 18 26 38 84 110 114 140 144 170 216 228 236 248 254	-2500191177174
SPT(16)	2502041632060132501	0 16 58 72 106 138 148 190 198 240 250 282 316 330 372 388	-1258587444346
STPT(10)	2502042041608298219	0 2 30 32 60 62 90 92 120 122	-849039278628
SPT(16)	2502042088449194791	0 16 108 118 156 198 208 222 346 360 370 412 450 460 552 568	-802198382056
SPT(16)	2502042467679414193	0 10 48 66 70 94 108 144 160 196 210 234 238 256 294 304	-422968162654
TPT(14)	2502042568146539069	0 2 42 44 108 110 120 122 150 152 192 194 210 212	-322501037778
TPT(16)	2502042940193590637	0 2 30 32 72 74 114 116 252 254 312 314 492 494 552 554	49546013790
SPT(16)	2502043602247139417	0 20 32 54 60 132 230 234 260 264 362 434 440 462 474 494	711599562570
STPT(10)	2502044065266075227	0 2 42 44 72 74 102 104 144 146	1174618498380
SPT(16)	2502044143276228367	0 26 50 60 92 104 150 152 174 176 222 234 266 276 300 326	1252628651520
TPT(14)	2502044286967892729	0 2 12 14 30 32 60 62 168 170 192 194 270 272	1396320315882