Prime p₀= 2341241181254451767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: eclipse99
db: batch=81, k=10, 2 52 2 76 2

SPT(16)	2341239217190008801	0 112 168 226 246 250 262 268 360 366 378 382 402 460 516 628	-1964064442966
SPT(16)	2341240147411777583	0 74 104 108 144 156 168 228 236 296 308 320 356 360 390 464	-1033842674184
STPT(10)	2341240163808213287	0 2 42 44 72 74 102 104 144 146	-1017446238480
STPT(10)	2341240311303954029	0 2 12 14 30 32 48 50 60 62	-869950497738
SPT(16)	2341240734422722157	0 6 20 32 50 90 174 176 180 182 266 306 324 336 350 356	-446831729610
SPT(16)	2341241023262238197	0 6 14 24 44 74 84 90 116 122 132 162 182 192 200 206	-157992213570
TPT(14)	2341241290544954267	0 2 30 32 120 122 192 194 222 224 264 266 294 296	109290502500
SPT(16)	2341241334157011343	0 10 18 36 78 114 136 148 186 198 220 256 298 316 324 334	152902559576
SPT(16)	2341241441064187157	0 12 20 30 42 80 86 90 122 126 132 170 182 192 200 212	259809735390
SPT(16)	2341241454985909499	0 24 48 50 60 122 128 162 170 204 210 272 282 284 308 332	273731457732
TPT(14)	2341241885896066499	0 2 78 80 90 92 108 110 150 152 162 164 192 194	704641614732