Prime p₀= 2128581713189581547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Landjunge
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2128580104941359659	0 28 64 78 130 142 154 172 210 228 240 252 304 318 354 382	-1608248221888
SPT(16)	2128580411064978671	0 20 26 138 152 168 192 206 282 296 320 336 350 462 468 488	-1302124602876
TPT(14)	2128580943647373977	0 2 54 56 60 62 114 116 150 152 192 194 210 212	-769542207570
STPT(10)	2128581513172636307	0 2 30 32 60 62 90 92 120 122	-200016945240
STPT(10)	2128581580980244979	0 2 42 44 120 122 198 200 240 242	-132209336568
SPT(16)	2128581658167745357	0 16 36 42 64 70 120 124 192 196 246 252 274 280 300 316	-55021836190
TPT(14)	2128582240374847067	0 2 30 32 72 74 114 116 150 152 180 182 222 224	527185265520
SPT(16)	2128582666901094863	0 50 60 90 114 134 138 144 170 176 180 200 224 254 264 314	953711513316
SPT(16)	2128583043550707097	0 16 96 112 144 252 286 316 390 420 454 562 594 610 690 706	1330361125550
SPT(16)	2128583081476386593	0 6 14 24 38 80 104 144 170 210 234 276 290 300 308 314	1368286805046
STPT(10)	2128583112716278217	0 2 24 26 42 44 60 62 84 86	1399526696670