Prime p₀= 797137282456434209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 4 2 28 2 10 2 28 2 (?)
a_n: 0 2 42 44 132 134 138 140 168 170 180 182 210 212
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: 212
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 40 88 4 28 10 28

STPT(10)	797136024096109667	0 2 54 56 72 74 90 92 144 146	-1258360324542
SPT(16)	797136128052193879	0 28 70 108 112 132 154 190 192 228 250 270 274 312 354 382	-1154404240330
SPT(20)	797136142934971579	0 10 22 78 94 108 124 168 180 204 208 232 244 288 304 318 334 390 402 412	-1139521462630
TPT(14)	797136309636522617	0 2 84 86 102 104 114 116 144 146 150 152 180 182	-972819911592
STPT(10)	797136996272816489	0 2 42 44 90 92 138 140 180 182	-286183617720
STPT(10)	797137004202516947	0 2 30 32 72 74 114 116 144 146	-278253917262
SPT(16)	797137584311651311	0 10 22 28 82 88 106 186 232 312 330 336 390 396 408 418	301855217102
TPT(14)	797137611361461059	0 2 30 32 60 62 72 74 228 230 240 242 258 260	328905026850
STPT(10)	797138379034778489	0 2 18 20 60 62 102 104 120 122	1096578344280
SPT(16)	797138525576134229	0 24 38 60 98 132 140 164 168 192 200 234 272 294 308 332	1243119700020
SPT(16)	797138538624494999	0 8 14 38 60 74 78 84 98 104 108 122 144 168 174 182	1256168060790