Prime p₀= 2783582073829401461 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 100 2 10 2 16 2 40 2 (?)
a_n: 0 2 36 38 66 68 168 170 180 182 198 200 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 34 28 100 10 16 40

TPT(14)	2783581506032320997	0 2 12 14 24 26 42 44 54 56 150 152 180 182	-567797080464
SPT(16)	2783581529643811123	0 64 90 106 120 126 166 174 190 198 238 244 258 274 300 364	-544185590338
SPT(16)	2783581723005709607	0 2 50 62 92 114 230 252 254 276 392 414 444 456 504 506	-350823691854
SPT(16)	2783581968429555199	0 4 12 34 100 130 168 184 228 244 282 312 378 400 408 412	-105399846262
SPT(16)	2783582043623572063	0 6 36 46 64 78 120 138 196 214 256 270 288 298 328 334	-30205829398
STPT(10)	2783582048704913549	0 2 30 32 60 62 90 92 120 122	-25124487912
SPT(16)	2783582317092977209	0 12 42 64 118 124 148 190 192 234 258 264 318 340 370 382	243263575748
SPT(16)	2783582853240396439	0 70 138 144 150 178 234 250 282 298 354 382 388 394 462 532	779410994978
STPT(10)	2783582999223549581	0 2 36 38 78 80 120 122 156 158	925394148120
SPT(16)	2783583051685802449	0 4 30 70 90 130 144 150 202 208 222 262 282 322 348 352	977856400988
STPT(10)	2783583328783836749	0 2 30 32 120 122 210 212 240 242	1254954435288