Prime p₀= 726261805899533039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 52 2 4 2 10 2 28 2 10 2 (?)
a_n: 0 2 108 110 162 164 168 170 180 182 210 212 222 224
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: Theadalus
db: batch=73, k=14, 106 52 4 10 28 10

SPT(16)	726261111764498371	0 18 40 42 70 78 112 120 130 138 172 180 208 210 232 250	-694135034668
SPT(16)	726261301932161939	0 32 38 110 144 152 164 210 422 468 480 488 522 594 600 632	-503967371100
SPT(16)	726261302737264103	0 8 66 68 90 120 138 150 176 188 206 236 258 260 318 326	-503162268936
SPT(16)	726261650282827657	0 36 40 52 96 102 120 136 180 196 214 220 264 276 280 316	-155616705382
SPT(16)	726261667827388127	0 26 30 44 74 96 102 140 156 194 200 222 252 266 270 296	-138072144912
SPT(16)	726261682765019647	0 4 54 96 100 124 136 162 214 240 252 276 280 322 372 376	-123134513392
STPT(10)	726261924595461827	0 2 24 26 42 44 60 62 84 86	118695928788
SPT(16)	726262136175292553	0 36 50 68 146 188 194 258 266 330 336 378 456 474 488 524	330275759514
SPT(16)	726262173181530883	0 16 30 76 88 118 120 130 144 154 156 186 198 244 258 274	367281997844
STPT(10)	726262214856908687	0 2 42 44 72 74 102 104 144 146	408957375648
STPT(10)	726262696916731229	0 2 48 50 90 92 132 134 180 182	891017198190