Prime p₀= 735461197401031457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	735459642891473453	0 6 20 90 134 144 170 176 198 204 230 240 284 354 368 374	-1554509558004
STPT(10)	735459865675335677	0 2 30 32 60 62 90 92 120 122	-1331725695780
STPT(10)	735460209785724089	0 2 42 44 60 62 78 80 120 122	-987615307368
SPT(16)	735460227023426129	0 2 14 42 44 78 102 120 122 140 164 198 200 228 240 242	-970377605328
SPT(16)	735460401538168729	0 30 52 54 70 100 112 150 184 222 234 264 280 282 304 334	-795862862728
STPT(10)	735460481170693571	0 2 126 128 168 170 210 212 336 338	-716230337886
SPT(16)	735461236892675789	0 48 80 90 140 158 192 200 300 308 342 360 410 420 452 500	39491644332
SPT(13)	735461432815876199	0 12 30 42 72 90 132 174 192 222 234 252 264	235414844742
STPT(10)	735461626501851671	0 2 36 38 78 80 120 122 156 158	429100820214
SPT(16)	735461735653519307	0 20 24 30 42 80 180 192 212 224 324 362 374 380 384 404	538252487850
STPT(10)	735462422814210587	0 2 60 62 72 74 84 86 144 146	1225413179130