Prime p₀= 452067664123726499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: desktop64
db: batch=70, k=10, 2 28 2 28 2

SPT(14)	452067552748710737	0 14 20 24 54 56 80 90 114 116 146 150 156 170	-111375015762
SPT(14)	452067571859373931	0 10 16 28 30 48 90 178 220 238 240 252 258 268	-92264352568
SPT(14)	452067584668035781	0 42 70 126 142 172 180 202 210 240 256 312 340 382	-79455690718
SPT(14)	452067603218442301	0 12 18 76 102 168 172 216 220 286 312 370 376 388	-60905284198
STPT(10)	452067625064237009	0 2 18 20 60 62 102 104 120 122	-39059489490
TPT(12)	452067635931142937	0 2 12 14 60 62 102 104 114 116 144 146	-28192583562
SPT(14)	452067674465773213	0 40 70 96 124 126 136 144 154 156 184 210 240 280	10342046714
SPT(14)	452067680834243521	0 22 40 82 136 150 168 190 208 222 276 318 336 358	16710517022
SPT(14)	452067689556760579	0 22 54 82 120 124 154 180 210 214 252 280 312 334	25433034080
SPT(14)	452067708052622561	0 6 32 48 86 138 158 210 230 282 320 336 362 368	43928896062
SPT(16)	452067712858653119	0 8 50 78 92 98 120 140 180 200 222 228 242 270 312 320	48734926620