Prime p₀= 2907055699767378629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 64 2 52 2 28 2 28 2 34 2 (?)
a_n: 0 2 72 74 138 140 192 194 222 224 252 254 288 290
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: 290
Found by: Landjunge
db: batch=82, k=14, 70 64 52 28 28 34

SPT(16)	2907053579325177263	0 18 50 116 120 126 156 176 198 218 248 254 258 324 356 374	-2120442201366
STPT(10)	2907053655179481497	0 2 30 32 42 44 54 56 84 86	-2044587897132
SPT(16)	2907053851000077983	0 8 54 128 144 164 180 194 210 224 240 260 276 350 396 404	-1848767300646
SPT(16)	2907054621042002371	0 28 30 40 58 66 72 76 132 136 142 150 168 178 180 208	-1078725376258
SPT(16)	2907054667018331161	0 16 28 72 78 96 106 112 126 132 142 160 166 210 222 238	-1032749047468
STPT(10)	2907054949767323651	0 2 6 8 18 20 30 32 36 38	-750000054978
STPT(10)	2907056275449129239	0 2 42 44 60 62 78 80 120 122	575681750610
SPT(16)	2907056299811866133	0 68 84 138 156 170 176 218 246 288 294 308 326 380 396 464	600044487504
SPT(16)	2907056343598144403	0 56 66 78 98 144 150 164 180 194 200 246 266 278 288 344	643830765774
SPT(16)	2907056367125492557	0 34 40 52 70 136 180 192 304 316 360 426 444 456 462 496	667358113928
SPT(16)	2907056461213483153	0 28 94 106 148 208 234 256 288 310 336 396 438 450 516 544	761446104524