Prime p₀= 1022688032310605357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 88 2 76 2 40 2 4 2 22 2 (?)
a_n: 0 2 54 56 144 146 222 224 264 266 270 272 294 296
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: 296
Found by: Skivelitis2
db: batch=76, k=14, 52 88 76 40 4 22

TPT(14)	1022686325264513639	0 2 42 44 90 92 162 164 168 170 198 200 228 230	-1707046091718
SPT(16)	1022686918526337341	0 12 26 72 140 156 200 216 236 252 296 312 380 426 440 452	-1113784268016
SPT(16)	1022687106855054947	0 12 26 54 62 96 144 152 174 182 230 264 272 300 314 326	-925455550410
SPT(16)	1022687417720043221	0 2 12 20 26 42 110 116 126 132 200 216 222 230 240 242	-614590562136
TPT(14)	1022687431730670131	0 2 60 62 336 338 348 350 390 392 396 398 438 440	-600579935226
STPT(10)	1022687883194412437	0 2 30 32 60 62 90 92 120 122	-149116192920
STPT(10)	1022688153030114377	0 2 42 44 72 74 102 104 144 146	120719509020
SPT(16)	1022688236990141077	0 4 24 42 52 70 82 100 126 144 156 174 184 202 222 226	204679535720
SPT(16)	1022688331761276847	0 6 16 42 66 90 102 132 154 184 196 220 244 270 280 286	299450671490
SPT(16)	1022688380635489193	0 44 86 90 114 120 126 146 204 224 230 236 260 264 306 350	348324883836
STPT(10)	1022688662655916379	0 2 12 14 30 32 48 50 60 62	630345311022