Prime p₀= 2239827404240396777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 100 2 28 2 118 2 16 2 40 2 (?)
a_n: 0 2 42 44 144 146 174 176 294 296 312 314 354 356
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: 356
Found by: JayPi
db: batch=81, k=14, 40 100 28 118 16 40

SPT(16)	2239825640801986033	0 30 46 66 96 150 184 196 198 210 244 298 328 348 364 394	-1763438410744
SPT(16)	2239826353475859847	0 6 12 52 70 72 132 154 282 304 364 366 384 424 430 436	-1050764536930
STPT(10)	2239826556026038937	0 2 24 26 42 44 60 62 84 86	-848214357840
SPT(16)	2239826816537002103	0 56 78 108 144 164 186 246 308 368 390 410 446 476 498 554	-587703394674
STPT(10)	2239827073233780629	0 2 18 20 30 32 42 44 60 62	-331006616148
SPT(16)	2239827387241059397	0 34 60 64 84 94 112 124 132 144 162 172 192 196 222 256	-16999337380
SPT(16)	2239827538986438239	0 38 62 104 114 138 152 170 192 210 224 248 258 300 324 362	134746041462
STPT(10)	2239827652572669041	0 2 36 38 78 80 120 122 156 158	248332272264
SPT(16)	2239827677557397041	0 10 48 52 126 162 186 192 196 202 226 262 336 340 378 388	273317000264
STPT(10)	2239828034622414581	0 2 36 38 78 80 120 122 156 158	630382017804
SPT(16)	2239828485580848707	0 12 32 42 80 102 132 180 194 242 272 294 332 342 362 374	1081340451930