Prime p₀= 2564770101191552027 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: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2564768909409987737	0 2 56 62 72 86 114 132 164 182 210 224 234 240 294 296	-1191781564290
SPT(16)	2564768931863702593	0 40 64 106 108 126 148 150 154 156 178 196 198 240 264 304	-1169327849434
SPT(16)	2564769364941327221	0 18 56 90 96 108 110 146 192 228 230 242 248 282 320 338	-736250224806
TPT(14)	2564769410055633059	0 2 12 14 42 44 102 104 198 200 240 242 270 272	-691135918968
STPT(10)	2564769635568128249	0 2 18 20 30 32 42 44 60 62	-465623423778
STPT(10)	2564769808054184711	0 2 36 38 78 80 120 122 156 158	-293137367316
STPT(10)	2564770150200041207	0 2 54 56 72 74 90 92 144 146	49008489180
SPT(16)	2564770339702274989	0 52 82 88 124 150 178 204 238 264 292 318 354 360 390 442	238510722962
STPT(10)	2564770927656609767	0 2 30 32 42 44 54 56 84 86	826465057740
SPT(16)	2564771451595458529	0 4 30 42 64 102 120 130 144 154 172 210 232 244 270 274	1350403906502
STPT(10)	2564771594268289457	0 2 42 44 102 104 162 164 204 206	1493076737430