Prime p₀= 1410636321107954777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: MarkRBright
db: batch=78, k=10, 2 10 2 58 2

SPT(16)	1410634598449106617	0 30 42 66 70 72 132 136 156 160 220 222 226 250 262 292	-1722658848160
SPT(18)	1410634710836295359	0 2 18 42 44 78 200 218 230 282 294 312 434 468 470 494 510 512	-1610271659418
TPT(14)	1410634874394716417	0 2 12 14 42 44 54 56 192 194 234 236 264 266	-1446713238360
SPT(16)	1410635583805345031	0 12 18 30 36 78 102 116 162 176 200 242 248 260 266 278	-737302609746
TPT(14)	1410635604641144129	0 2 78 80 108 110 138 140 150 152 162 164 210 212	-716466810648
SPT(16)	1410635878934215541	0 32 56 60 90 122 132 156 266 290 300 332 362 366 390 422	-442173739236
SPT(16)	1410636453605652407	0 12 14 66 80 110 170 212 234 276 336 366 380 432 434 446	132497697630
STPT(10)	1410636533690658119	0 2 18 20 30 32 42 44 60 62	212582703342
SPT(16)	1410636607554953903	0 24 26 90 150 176 180 194 216 230 234 260 320 384 386 410	286446999126
SPT(16)	1410636711991355839	0 18 28 40 48 70 78 118 132 172 180 202 210 222 232 250	390883401062
STPT(10)	1410637079660958011	0 2 30 32 78 80 126 128 156 158	758553003234