Prime p₀= 724964990600426687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 10 2 28 2 46 2 16 2 70 2 (?)
a_n: 0 2 102 104 114 116 144 146 192 194 210 212 282 284
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: 284
Found by: stasieks
db: batch=73, k=14, 100 10 28 46 16 70

SPT(16)	724963823303614789	0 42 52 58 100 118 124 138 214 228 234 252 294 300 310 352	-1167296811898
SPT(16)	724963930303431179	0 32 44 54 72 140 152 158 264 270 282 350 368 378 390 422	-1060296995508
STPT(10)	724964282725747637	0 2 24 26 42 44 60 62 84 86	-707874679050
SPT(18)	724964419978827359	0 14 60 62 74 84 92 104 174 200 270 282 290 300 312 314 360 374	-570621599328
SPT(16)	724964620942114237	0 12 42 54 90 102 112 124 132 144 154 166 202 214 244 256	-369658312450
STPT(10)	724964685169281017	0 2 24 26 42 44 60 62 84 86	-305431145670
STPT(10)	724965130175419799	0 2 78 80 120 122 162 164 240 242	139574993112
TPT(14)	724965350876822369	0 2 12 14 18 20 30 32 138 140 222 224 228 230	360276395682
SPT(16)	724965409683397873	0 28 64 70 106 118 124 180 184 240 246 258 294 300 336 364	419082971186
SPT(16)	724965625031397391	0 6 10 42 48 76 118 136 162 180 222 250 256 288 292 298	634430970704
SPT(16)	724965632900512753	0 24 36 60 114 126 136 156 178 198 208 220 274 298 310 334	642300086066