Prime p₀= 2704174934395207907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 124 2 58 2 118 2 58 2 (?)
a_n: 0 2 60 62 84 86 210 212 270 272 390 392 450 452
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: 452
Found by: JayPi
db: batch=82, k=14, 58 22 124 58 118 58

SPT(16)	2704173757582775809	0 22 24 28 70 88 100 114 148 162 174 192 234 238 240 262	-1176812432098
STPT(10)	2704173975318873677	0 2 42 44 72 74 102 104 144 146	-959076334230
SPT(16)	2704174124049380761	0 70 102 106 120 130 148 160 228 240 258 268 282 286 318 388	-810345827146
SPT(16)	2704174643517955747	0 12 34 42 52 94 100 102 124 126 132 174 184 192 214 226	-290877252160
SPT(16)	2704174694932294193	0 8 18 56 68 86 110 128 168 186 210 228 240 278 288 296	-239462913714
STPT(10)	2704174727574648917	0 2 30 32 42 44 54 56 84 86	-206820558990
SPT(16)	2704175056628638441	0 18 36 52 66 76 88 106 132 150 162 172 186 202 220 238	122233430534
SPT(16)	2704175100442906127	0 6 44 56 120 122 126 140 156 170 174 176 240 252 290 296	166047698220
SPT(16)	2704175176573920739	0 18 22 42 48 70 82 84 118 120 132 154 160 180 184 202	242178712832
STPT(10)	2704175390559775511	0 2 36 38 78 80 120 122 156 158	456164567604
SPT(16)	2704175490632956841	0 68 96 138 146 152 158 182 306 330 336 342 350 392 420 488	556237748934