Prime p₀= 1512411580647290759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: crashtech
db: batch=78, k=10, 2 16 2 40 2

SPT(16)	1512410721113535571	0 6 16 40 58 72 130 132 136 138 196 210 228 252 262 268	-859533755188
STPT(12)	1512410845819613567	0 2 60 62 84 86 90 92 114 116 174 176	-734827677192
TPT(14)	1512411237038528249	0 2 120 122 132 134 150 152 192 194 330 332 348 350	-343608762510
TPT(16)	1512411260311817687	0 2 24 26 90 92 132 134 162 164 174 176 204 206 222 224	-320335473072
SPT(16)	1512411360328687723	0 6 76 88 94 100 108 114 130 136 144 150 156 168 238 244	-220318603036
STPT(10)	1512411503603425427	0 2 30 32 72 74 114 116 144 146	-77043865332
TPT(14)	1512411602096404769	0 2 12 14 48 50 60 62 102 104 168 170 240 242	21449114010
TPT(14)	1512411642881619329	0 2 12 14 90 92 132 134 168 170 258 260 300 302	62234328570
STPT(10)	1512411645221937869	0 2 12 14 90 92 168 170 180 182	64574647110
SPT(16)	1512411660181524941	0 12 18 56 66 108 126 138 170 182 200 242 252 290 296 308	79534234182
STPT(12)	1512411831291523289	0 2 12 14 72 74 78 80 138 140 150 152	250644232530