Prime p₀= 2401938422692894409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Penguin
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2401937185446937751	0 2 12 30 62 68 72 90 98 116 120 126 158 176 186 188	-1237245956658
STPT(10)	2401937216457522179	0 2 42 44 60 62 78 80 120 122	-1206235372230
SPT(16)	2401937292195990979	0 24 30 42 94 100 132 160 174 202 234 240 292 304 310 334	-1130496903430
STPT(12)	2401938057071067197	0 2 12 14 42 44 60 62 90 92 102 104	-365621827212
SPT(16)	2401938202702763381	0 2 12 138 140 170 180 312 416 548 558 588 590 716 726 728	-219990131028
STPT(10)	2401938231361842917	0 2 42 44 102 104 162 164 204 206	-191331051492
SPT(16)	2401938622617714559	0 10 22 40 60 70 112 142 192 222 264 274 294 312 324 334	199924820150
SPT(16)	2401938656631870691	0 40 60 70 76 82 88 90 208 210 216 222 228 238 258 298	233938976282
STPT(10)	2401939205886760361	0 2 6 8 48 50 90 92 96 98	783193865952
SPT(16)	2401939278411506167	0 36 64 76 96 124 154 166 294 306 336 364 384 396 424 460	855718611758
STPT(10)	2401939284070757489	0 2 42 44 60 62 78 80 120 122	861377863080