Prime p₀= 2789412864334717667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2789411562985518833	0 6 24 36 66 74 84 96 104 116 126 134 164 176 194 200	-1301349198834
SPT(16)	2789411676469517611	0 10 52 58 66 108 166 196 222 252 310 352 360 366 408 418	-1187865200056
SPT(16)	2789412000455876161	0 48 66 78 136 186 190 196 210 216 220 270 328 340 358 406	-863878841506
TPT(14)	2789412152165792969	0 2 48 50 72 74 90 92 132 134 138 140 228 230	-712168924698
STPT(10)	2789412562811219099	0 2 18 20 30 32 42 44 60 62	-301523498568
SPT(16)	2789412801695891309	0 2 12 44 68 72 138 152 210 224 290 294 318 350 360 362	-62638826358
SPT(16)	2789412992427142561	0 60 76 78 90 100 130 148 168 186 216 226 238 240 256 316	128092424894
SPT(16)	2789413886391971567	0 44 50 60 92 102 114 134 150 170 182 192 224 234 240 284	1022057253900
SPT(16)	2789414202108891317	0 20 56 80 122 164 176 210 296 330 342 384 426 450 486 506	1337774173650
STPT(10)	2789414316502822901	0 2 6 8 48 50 90 92 96 98	1452168105234
SPT(20)	2789414878889339521	0 28 100 168 220 256 270 280 322 358 360 396 438 448 462 498 550 618 690 718	2014554621854