Prime p₀= 1424147624187996821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: vinn@[CNT]
db: batch=78, k=10, 2 34 2 40 2

SPT(20)	1424146574278313461	0 46 70 72 76 88 118 130 148 162 226 240 258 270 300 312 316 318 342 388	-1049909683360
STPT(10)	1424146791427386737	0 2 60 62 72 74 84 86 144 146	-832760610084
STPT(10)	1424146961286664787	0 2 42 44 72 74 102 104 144 146	-662901332034
STPT(10)	1424147141932696451	0 2 6 8 48 50 90 92 96 98	-482255300370
SPT(20)	1424147226927664199	0 44 78 98 104 134 158 168 192 254 288 350 374 384 408 438 444 464 498 542	-397260332622
TPT(14)	1424147340215476529	0 2 30 32 102 104 120 122 168 170 198 200 228 230	-283972520292
SPT(16)	1424147752151454497	0 14 66 116 126 140 206 234 266 294 360 374 384 434 486 500	127963457676
SPT(16)	1424147958738653051	0 56 60 72 80 96 170 192 200 222 296 312 320 332 336 392	334550656230
STPT(10)	1424148033251887751	0 2 96 98 108 110 120 122 216 218	409063890930
SPT(16)	1424148057408865339	0 12 18 22 40 42 70 82 90 102 130 132 150 154 160 172	433220868518
STPT(10)	1424148095632353731	0 2 6 8 48 50 90 92 96 98	471444356910