Prime p₀= 2040718673093702081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 28 2 76 2 100 2 16 2 (?)
a_n: 0 2 6 8 30 32 60 62 138 140 240 242 258 260
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: 260
Found by: eclipse99
db: batch=80, k=14, 4 22 28 76 100 16

SPT(16)	2040717028089245551	0 28 42 70 106 118 138 148 180 190 210 222 258 286 300 328	-1645004456530
STPT(10)	2040717071331251561	0 2 78 80 108 110 138 140 216 218	-1601762450520
SPT(16)	2040717254036257229	0 32 42 54 68 80 98 104 108 114 132 144 158 170 180 212	-1419057444852
SPT(16)	2040717762633969091	0 28 66 96 100 106 150 168 220 238 282 288 292 322 360 388	-910459732990
STPT(12)	2040718106386067621	0 2 6 8 30 32 186 188 210 212 216 218	-566707634460
SPT(16)	2040718544984345407	0 30 42 54 90 124 172 192 244 264 312 346 382 394 406 436	-128109356674
STPT(10)	2040719194375848977	0 2 42 44 72 74 102 104 144 146	521282146896
STPT(10)	2040719802820329479	0 2 30 32 60 62 90 92 120 122	1129726627398
SPT(16)	2040719949142568587	0 4 34 46 76 102 150 166 180 196 244 270 300 312 342 346	1276048866506
TPT(14)	2040719969808996401	0 2 30 32 48 50 168 170 198 200 210 212 228 230	1296715294320
SPT(16)	2040720068549514481	0 22 76 96 108 132 160 178 180 198 226 250 262 282 336 358	1395455812400