Prime p₀= 589914040849965617 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: Tomáš Brada
db: batch=58, k=10, 2 28 2 28 2

SPT(14)	589914002179999711	0 16 30 42 90 96 106 132 142 148 196 208 222 238	-38669965906
TPT(12)	589914007659402029	0 2 48 50 162 164 168 170 282 284 288 290	-33190563588
TPT(12)	589914008509402007	0 2 30 32 54 56 72 74 132 134 144 146	-32340563610
SPT(14)	589914015740865961	0 22 28 46 78 88 112 186 210 220 252 270 276 298	-25109099656
SPT(14)	589914029703974873	0 20 30 44 50 98 104 144 150 198 204 218 228 248	-11145990744
SPT(14)	589914032789379517	0 4 46 60 70 94 112 174 192 216 226 240 282 286	-8060586100
TPT(12)	589914042912900779	0 2 78 80 138 140 162 164 168 170 192 194	2062935162
SPT(14)	589914092856544109	0 2 12 90 92 104 110 114 120 132 134 212 222 224	52006578492
SPT(14)	589914101057825221	0 66 90 96 118 168 196 222 250 300 322 328 352 418	60207859604
SPT(14)	589914111473869219	0 22 42 48 58 102 190 240 328 372 382 388 408 430	70623903602
TPT(12)	589914125848280897	0 2 30 32 72 74 222 224 294 296 354 356	84998315280