Prime p₀= 2913803978562682421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 40 2 16 2 10 2 10 2 (?)
a_n: 0 2 30 32 66 68 108 110 126 128 138 140 150 152
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: 152
Found by: Landjunge
db: batch=82, k=14, 28 34 40 16 10 10

SPT(16)	2913802685780077213	0 48 96 100 108 124 156 160 174 178 210 226 234 238 286 334	-1292782605208
TPT(14)	2913803074742589311	0 2 6 8 78 80 126 128 198 200 240 242 330 332	-903820093110
SPT(18)	2913803362384762231	0 16 28 66 70 90 108 142 150 178 186 220 238 258 262 300 312 328	-616177920190
SPT(16)	2913803712637961903	0 6 14 36 56 96 110 116 198 204 218 258 278 300 308 314	-265924720518
STPT(10)	2913803819664893339	0 2 30 32 60 62 90 92 120 122	-158897789082
SPT(16)	2913803955104677997	0 20 62 84 90 102 104 134 150 180 182 194 200 222 264 284	-23458004424
STPT(10)	2913804028470842231	0 2 6 8 48 50 90 92 96 98	49908159810
SPT(16)	2913804116538983359	0 18 42 52 90 150 240 294 328 382 472 532 570 580 604 622	137976300938
TPT(14)	2913804351474939971	0 2 180 182 198 200 228 230 240 242 378 380 450 452	372912257550
STPT(10)	2913804370429206827	0 2 60 62 72 74 84 86 144 146	391866524406
SPT(16)	2913804619754196577	0 16 52 54 70 112 126 166 180 220 234 276 292 294 330 346	641191514156