Prime p₀= 2046877224752832137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 64 2 28 2 28 2 58 2 10 2 (?)
a_n: 0 2 54 56 120 122 150 152 180 182 240 242 252 254
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: 254
Found by: matsu_pl
db: batch=80, k=14, 52 64 28 28 58 10

SPT(16)	2046875584904878181	0 12 42 48 62 68 72 90 110 128 132 138 152 158 188 200	-1639847953956
TPT(14)	2046875691901396439	0 2 210 212 252 254 480 482 492 494 642 644 660 662	-1532851435698
SPT(16)	2046875929267143241	0 36 72 106 108 178 226 232 276 282 330 400 402 436 472 508	-1295485688896
SPT(16)	2046875996837073439	0 48 60 90 100 142 168 192 220 244 270 312 322 352 364 412	-1227915758698
SPT(16)	2046876458986219583	0 24 38 60 84 98 116 120 254 258 276 290 314 336 350 374	-765766612554
SPT(16)	2046877076549082263	0 26 30 38 84 96 176 180 194 198 278 290 336 344 348 374	-148203749874
STPT(10)	2046877466800865561	0 2 30 32 78 80 126 128 156 158	242048033424
SPT(16)	2046877678612487641	0 6 22 46 60 78 90 96 112 118 130 148 162 186 202 208	453859655504
SPT(16)	2046877718733614957	0 26 60 66 72 84 102 116 120 134 152 164 170 176 210 236	493980782820
SPT(16)	2046877777201975171	0 12 18 72 82 88 130 142 156 168 210 216 226 280 286 298	552449143034
SPT(16)	2046877817102912149	0 4 54 102 118 132 154 174 208 228 250 264 280 328 378 382	592350080012