Prime p₀= 1596320856715892369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 130 2 88 2 28 2 130 2 (?)
a_n: 0 2 12 14 18 20 150 152 240 242 270 272 402 404
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: 404
Found by: biodoc
db: batch=78, k=14, 10 4 130 88 28 130

SPT(16)	1596319495758579023	0 60 66 90 144 146 164 174 236 246 264 266 320 344 350 410	-1360957313346
STPT(10)	1596319811429836187	0 2 30 32 60 62 90 92 120 122	-1045286056182
SPT(20)	1596319891297535981	0 20 48 90 96 98 128 132 140 146 162 168 176 180 210 212 218 260 288 308	-965418356388
STPT(10)	1596320076261802187	0 2 90 92 102 104 114 116 204 206	-780454090182
SPT(16)	1596320349556993327	0 54 102 120 142 154 166 172 204 210 222 234 256 274 322 376	-507158899042
STPT(10)	1596320578143413009	0 2 18 20 30 32 42 44 60 62	-278572479360
SPT(16)	1596320941352801819	0 24 38 42 68 74 108 150 152 194 228 234 260 264 278 302	84636909450
SPT(16)	1596321578341482631	0 16 28 42 46 52 66 72 106 112 126 132 136 150 162 178	721625590262
SPT(16)	1596321688517122423	0 28 84 138 154 198 208 250 294 336 346 390 406 460 516 544	831801230054
SPT(16)	1596321854050369847	0 42 90 92 114 122 150 174 200 224 252 260 282 284 332 374	997334477478
STPT(10)	1596321880857758321	0 2 36 38 78 80 120 122 156 158	1024141865952