Prime p₀= 68183977187567957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: emoga
db: batch=67, k=10, 2 40 2 28 2

SPT(14)	68183908030787917	0 40 82 120 130 144 166 330 352 366 376 414 456 496	-69156780040
TPT(12)	68183939664438041	0 2 6 8 36 38 78 80 120 122 168 170	-37523129916
SPT(14)	68183947911874309	0 12 30 42 54 58 84 88 114 118 130 142 160 172	-29275693648
SPT(14)	68183949298751369	0 32 84 98 102 150 158 174 182 230 234 248 300 332	-27888816588
TPT(12)	68183967895807031	0 2 30 32 36 38 78 80 90 92 168 170	-9291760926
SPT(14)	68183972122734469	0 22 28 40 52 82 108 154 180 210 222 234 240 262	-5064833488
SPT(14)	68183978053698553	0 36 46 78 90 106 120 124 138 154 166 198 208 244	866130596
SPT(14)	68184002385615289	0 24 42 64 84 154 162 220 228 298 318 340 358 382	25198047332
SPT(14)	68184013991933831	0 6 56 60 68 80 158 168 246 258 266 270 320 326	36804365874
SPT(14)	68184014531908111	0 6 12 22 48 58 118 210 270 280 306 316 322 328	37344340154
SPT(14)	68184020364570137	0 20 42 86 110 126 140 156 170 186 210 254 276 296	43177002180