Prime p₀= 968930142636917231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: HenkM
db: batch=76, k=10, 2 64 2 70 2

SPT(16)	968928811979621159	0 14 60 62 80 108 128 132 140 144 164 192 210 212 258 272	-1330657296072
STPT(10)	968929062598769507	0 2 42 44 72 74 102 104 144 146	-1080038147724
SPT(16)	968929208591640203	0 8 18 48 66 108 120 140 186 206 218 260 278 308 318 326	-934045277028
SPT(16)	968929501663269203	0 36 66 68 74 144 156 176 228 248 260 330 336 338 368 404	-640973648028
TPT(14)	968929778522523281	0 2 60 62 120 122 198 200 246 248 258 260 270 272	-364114393950
STPT(10)	968929915569868079	0 2 18 20 60 62 102 104 120 122	-227067049152
SPT(16)	968930339300615183	0 20 24 48 50 84 98 108 116 126 140 174 176 200 204 224	196663697952
TPT(14)	968930436117041807	0 2 24 26 54 56 90 92 120 122 132 134 180 182	293480124576
STPT(10)	968930749106025029	0 2 18 20 60 62 102 104 120 122	606469107798
STPT(10)	968930928829993697	0 2 12 14 42 44 72 74 84 86	786193076466
STPT(10)	968931317161083737	0 2 24 26 42 44 60 62 84 86	1174524166506