Prime p₀= 1950599301946243799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 52 2 64 2 28 2 22 2 (?)
a_n: 0 2 12 14 48 50 102 104 168 170 198 200 222 224
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: 224
Found by: Landjunge
db: batch=80, k=14, 10 34 52 64 28 22

SPT(16)	1950598291879326521	0 26 32 42 92 120 150 176 252 278 308 336 386 396 402 428	-1010066917278
SPT(16)	1950598352683707589	0 30 58 78 120 144 214 234 238 258 328 352 394 414 442 472	-949262536210
SPT(16)	1950598619113867123	0 30 58 84 108 114 126 130 174 178 190 196 220 246 274 304	-682832376676
STPT(10)	1950598766297141657	0 2 54 56 72 74 90 92 144 146	-535649102142
STPT(10)	1950599074603100807	0 2 54 56 72 74 90 92 144 146	-227343142992
STPT(10)	1950599230641911417	0 2 12 14 42 44 72 74 84 86	-71304332382
SPT(16)	1950599326568509651	0 30 42 58 60 100 108 112 216 220 228 268 270 286 298 328	24622265852
SPT(16)	1950599490559959581	0 2 6 38 56 86 110 132 146 168 192 222 240 272 276 278	188613715782
STPT(10)	1950599575048347869	0 2 48 50 60 62 72 74 120 122	273102104070
SPT(16)	1950599812868264161	0 28 36 66 70 76 88 90 106 108 120 126 130 160 168 196	510922020362
SPT(16)	1950600110641802017	0 6 46 84 90 100 144 150 286 292 336 346 352 390 430 436	808695558218