Prime p₀= 724965130175419799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: stasieks
db: batch=73, k=10, 2 76 2 40 2

SPT(16)	724963930303431179	0 32 44 54 72 140 152 158 264 270 282 350 368 378 390 422	-1199871988620
STPT(10)	724964282725747637	0 2 24 26 42 44 60 62 84 86	-847449672162
SPT(18)	724964419978827359	0 14 60 62 74 84 92 104 174 200 270 282 290 300 312 314 360 374	-710196592440
SPT(16)	724964620942114237	0 12 42 54 90 102 112 124 132 144 154 166 202 214 244 256	-509233305562
STPT(10)	724964685169281017	0 2 24 26 42 44 60 62 84 86	-445006138782
TPT(14)	724964990600426687	0 2 102 104 114 116 144 146 192 194 210 212 282 284	-139574993112
TPT(14)	724965350876822369	0 2 12 14 18 20 30 32 138 140 222 224 228 230	220701402570
SPT(16)	724965409683397873	0 28 64 70 106 118 124 180 184 240 246 258 294 300 336 364	279507978074
SPT(16)	724965625031397391	0 6 10 42 48 76 118 136 162 180 222 250 256 288 292 298	494855977592
SPT(16)	724965632900512753	0 24 36 60 114 126 136 156 178 198 208 220 274 298 310 334	502725092954
STPT(10)	724965649225320617	0 2 30 32 102 104 174 176 204 206	519049900818