Prime p₀= 2007961707129600821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 100 2 10 2 46 2 40 2 (?)
a_n: 0 2 30 32 96 98 198 200 210 212 258 260 300 302
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: 302
Found by: ChUcK
db: batch=80, k=14, 28 64 100 10 46 40

SPT(16)	2007960977725161863	0 18 60 84 150 164 174 186 188 200 210 224 290 314 356 374	-729404438958
SPT(16)	2007961159704215851	0 6 10 16 48 66 90 126 160 196 220 238 270 276 280 286	-547425384970
SPT(16)	2007961236395141519	0 18 20 32 38 48 92 108 242 258 302 312 318 330 332 350	-470734459302
STPT(10)	2007961317206148971	0 2 6 8 18 20 30 32 36 38	-389923451850
STPT(10)	2007961420927227581	0 2 6 8 48 50 90 92 96 98	-286202373240
TPT(14)	2007961422411585299	0 2 138 140 150 152 192 194 198 200 222 224 240 242	-284718015522
SPT(16)	2007961795578362803	0 34 40 84 268 310 324 330 418 424 438 480 664 708 714 748	88448761982
SPT(16)	2007962158996578679	0 10 82 100 112 118 124 174 178 228 234 240 252 270 342 352	451866977858
SPT(16)	2007962294495360831	0 8 12 26 36 42 50 80 138 168 176 182 192 206 210 218	587365760010
STPT(10)	2007962914487791487	0 2 30 32 72 74 114 116 144 146	1207358190666
TPT(14)	2007963856924023179	0 2 18 20 60 62 108 110 150 152 252 254 318 320	2149794422358