Prime p₀= 2031277851935647499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 28 2 106 2 28 2 10 2 (?)
a_n: 0 2 30 32 60 62 90 92 198 200 228 230 240 242
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: Landjunge
db: batch=80, k=14, 28 28 28 106 28 10

SPT(16)	2031276810296355761	0 20 38 68 80 86 122 128 150 156 192 198 210 240 258 278	-1041639291738
SPT(16)	2031277408536943991	0 2 6 78 198 242 272 296 312 336 366 410 530 602 606 608	-443398703508
STPT(10)	2031277467314240441	0 2 6 8 18 20 30 32 36 38	-384621407058
STPT(10)	2031277469495841599	0 2 48 50 90 92 132 134 180 182	-382439805900
SPT(16)	2031277637114675087	0 20 26 80 102 132 140 146 180 186 194 224 246 300 306 326	-214820972412
SPT(16)	2031277675806202501	0 10 12 28 42 46 82 88 150 156 192 196 210 226 228 238	-176129444998
TPT(14)	2031277886734403117	0 2 30 32 42 44 54 56 114 116 150 152 192 194	34798755618
SPT(16)	2031277938524447141	0 62 68 72 78 92 158 198 200 240 306 320 326 330 336 398	86588799642
SPT(16)	2031278198529701623	0 28 34 64 76 108 118 126 298 306 316 348 360 390 396 424	346594054124
STPT(10)	2031278303915360387	0 2 24 26 42 44 60 62 84 86	451979712888
SPT(16)	2031278362683331963	0 10 24 34 54 84 90 108 190 208 214 244 264 274 288 298	510747684464