Prime p₀= 2732993235949186391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 10 2 88 2 76 2 28 2 (?)
a_n: 0 2 18 20 96 98 108 110 198 200 276 278 306 308
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: 308
Found by: amazing
db: batch=82, k=14, 16 76 10 88 76 28

SPT(16)	2732991483423040649	0 12 20 42 62 80 110 122 288 300 330 348 368 390 398 410	-1752526145742
SPT(16)	2732992015298922599	0 32 62 80 84 92 104 120 122 138 150 158 162 180 210 242	-1220650263792
SPT(16)	2732992172757159167	0 2 12 60 74 86 114 126 170 182 210 222 236 284 294 296	-1063192027224
STPT(10)	2732992375939780181	0 2 78 80 108 110 138 140 216 218	-860009406210
TPT(14)	2732992627930627199	0 2 12 14 60 62 168 170 198 200 222 224 228 230	-608018559192
SPT(18)	2732993165289325291	0 22 72 210 226 276 292 306 322 330 346 360 376 426 442 580 630 652	-70659861100
STPT(10)	2732993284314829967	0 2 30 32 72 74 114 116 144 146	48365643576
STPT(10)	2732993336146797629	0 2 42 44 90 92 138 140 180 182	100197611238
SPT(16)	2732993540515775347	0 10 40 52 54 114 144 172 192 220 250 310 312 324 354 364	304566588956
SPT(16)	2732993678623070909	0 8 14 78 102 104 114 134 138 158 168 170 194 258 264 272	442673884518
SPT(16)	2732993762646539737	0 22 30 60 100 114 120 154 192 226 232 246 286 316 324 346	526697353346