Prime p₀= 2866955679269579927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JonS
db: batch=82, k=10, 2 10 2 28 2

STPT(12)	2866953929336943359	0 2 12 14 42 44 60 62 90 92 102 104	-1749932636568
SPT(16)	2866954468310519539	0 40 54 60 82 102 112 124 150 162 172 192 214 220 234 274	-1210959060388
TPT(14)	2866955052789767351	0 2 18 20 60 62 96 98 126 128 150 152 168 170	-626479812576
STPT(10)	2866955095955571347	0 2 24 26 42 44 60 62 84 86	-583314008580
SPT(16)	2866955188688439253	0 4 34 48 88 96 130 136 168 174 208 216 256 270 300 304	-490581140674
SPT(16)	2866955220781847753	0 8 18 26 48 54 96 126 158 188 230 236 258 266 276 284	-458487732174
STPT(10)	2866956321029543291	0 2 6 8 48 50 90 92 96 98	641759963364
SPT(16)	2866956331298891959	0 18 58 84 102 108 112 114 178 180 184 190 208 234 274 292	652029312032
SPT(16)	2866956339183956819	0 24 42 48 104 140 150 158 174 182 192 228 284 290 308 332	659914376892
SPT(16)	2866956377828857199	0 8 12 42 44 74 84 132 140 188 198 228 230 260 264 272	698559277272
SPT(16)	2866956394720012193	0 30 48 86 96 98 110 146 180 216 228 230 240 278 296 326	715450432266