Prime p₀= 1124883655638739307 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: crashtech
db: batch=76, k=10, 2 52 2 76 2

SPT(16)	1124881721843137397	0 14 80 90 102 104 122 140 156 174 192 194 206 216 282 296	-1933795601910
SPT(16)	1124882377472712077	0 6 20 86 90 120 140 146 186 192 212 242 246 312 326 332	-1278166027230
STPT(10)	1124882853950211689	0 2 12 14 90 92 168 170 180 182	-801688527618
STPT(10)	1124883188317634099	0 2 12 14 90 92 168 170 180 182	-467321105208
STPT(10)	1124883189525158429	0 2 42 44 60 62 78 80 120 122	-466113580878
SPT(16)	1124883228193979047	0 40 52 70 84 114 184 234 250 300 370 400 414 432 444 484	-427444760260
SPT(16)	1124883833430165811	0 18 60 78 132 150 168 186 192 210 228 246 300 318 360 378	177791426504
SPT(16)	1124883984819137503	0 34 36 46 70 108 136 178 186 228 256 294 318 328 330 364	329180398196
TPT(14)	1124884130457422009	0 2 78 80 108 110 132 134 138 140 330 332 360 362	474818682702
STPT(10)	1124884134279862037	0 2 54 56 72 74 90 92 144 146	478641122730
STPT(10)	1124884166502082289	0 2 78 80 120 122 162 164 240 242	510863342982