Prime p₀= 733712636279061797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 4 2 58 2 22 2 16 2 (?)
a_n: 0 2 72 74 114 116 120 122 180 182 204 206 222 224
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, 70 40 4 58 22 16

STPT(10)	733711970535855917	0 2 12 14 72 74 132 134 144 146	-665743205880
SPT(13)	733712040656058143	0 18 30 78 84 108 114 120 144 150 198 210 228	-595623003654
STPT(10)	733712054054812517	0 2 24 26 42 44 60 62 84 86	-582224249280
SPT(16)	733712341021334393	0 20 36 50 66 96 108 140 144 176 188 218 234 248 264 284	-295257727404
SPT(16)	733712342923441543	0 16 78 120 126 138 166 180 184 198 226 238 244 286 348 364	-293355620254
SPT(16)	733712532645912199	0 24 30 34 90 100 102 108 154 160 162 172 228 232 238 262	-103633149598
STPT(10)	733712804580942617	0 2 12 14 72 74 132 134 144 146	168301880820
SPT(16)	733712865490580819	0 32 42 44 50 62 90 152 162 224 252 264 270 272 282 314	229211519022
SPT(16)	733713398423769823	0 30 36 54 114 120 154 168 196 210 244 250 310 328 334 364	762144708026
STPT(10)	733713575907542927	0 2 30 32 72 74 114 116 144 146	939628481130
SPT(16)	733714239269173037	0 32 44 66 72 84 110 116 150 156 182 194 200 222 234 266	1602990111240