Prime p₀= 1924906629968808947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 136 2 58 2 40 2 34 2 (?)
a_n: 0 2 24 26 84 86 222 224 282 284 324 326 360 362
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: 362
Found by: Landjunge
db: batch=80, k=14, 22 58 136 58 40 34

SPT(16)	1924905136174493881	0 28 42 46 88 90 106 108 130 132 148 150 192 196 210 238	-1493794315066
SPT(16)	1924905358904646649	0 4 48 108 144 150 160 174 178 192 202 208 244 304 348 352	-1271064162298
STPT(10)	1924905595508317061	0 2 6 8 48 50 90 92 96 98	-1034460491886
SPT(18)	1924906152145744657	0 24 54 66 82 102 112 130 154 162 186 204 214 234 250 262 292 316	-477823064290
SPT(16)	1924906176362375407	0 4 22 24 42 66 84 94 102 112 130 154 172 174 192 196	-453606433540
STPT(12)	1924906271480348369	0 2 12 14 42 44 48 50 78 80 90 92	-358488460578
STPT(10)	1924906929705540899	0 2 18 20 30 32 42 44 60 62	299736731952
STPT(10)	1924907143689456131	0 2 6 8 18 20 30 32 36 38	513720647184
SPT(16)	1924907986506661547	0 6 62 72 80 86 96 150 212 266 276 282 290 300 356 362	1356537852600
STPT(10)	1924908007134784337	0 2 30 32 42 44 54 56 84 86	1377165975390
TPT(14)	1924908201773441189	0 2 30 32 60 62 90 92 180 182 258 260 270 272	1571804632242