Prime p₀= 2730178676817681239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 250 2 16 2 10 2 10 2 28 2 (?)
a_n: 0 2 78 80 330 332 348 350 360 362 372 374 402 404
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: 404
Found by: JayPi
db: batch=82, k=14, 76 250 16 10 10 28

SPT(16)	2730177764673314453	0 18 24 36 50 66 86 120 164 198 218 234 248 260 266 284	-912144366786
SPT(16)	2730178137284201399	0 20 48 50 60 98 134 158 204 228 264 302 312 314 342 362	-539533479840
STPT(10)	2730178157239128941	0 2 36 38 78 80 120 122 156 158	-519578552298
SPT(16)	2730178242558194707	0 42 66 76 96 100 102 156 196 250 252 256 276 286 310 352	-434259486532
TPT(14)	2730178258292845781	0 2 36 38 66 68 150 152 180 182 246 248 348 350	-418524835458
SPT(16)	2730178612225022839	0 18 28 58 60 82 100 138 184 222 240 262 264 294 304 322	-64592658400
SPT(16)	2730179043365048489	0 92 114 128 134 152 162 170 222 230 240 258 264 278 300 392	366547367250
SPT(16)	2730179180598605573	0 26 38 84 110 140 164 186 188 210 234 264 290 336 348 374	503780924334
STPT(10)	2730179761116358667	0 2 30 32 42 44 54 56 84 86	1084298677428
SPT(18)	2730179905070652719	0 12 42 60 62 72 84 90 114 128 152 158 170 180 182 200 230 242	1228252971480
SPT(16)	2730179938426468807	0 4 60 66 144 156 220 234 256 270 334 346 424 430 486 490	1261608787568