Prime p₀= 2412132090735718781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: JayPi
db: batch=82, k=10, 2 64 2 70 2

SPT(16)	2412131084490551311	0 28 40 60 70 72 76 82 186 192 196 198 208 228 240 268	-1006245167470
STPT(10)	2412131122208126489	0 2 78 80 120 122 162 164 240 242	-968527592292
SPT(16)	2412131573171264459	0 20 54 62 92 98 132 180 182 230 264 270 300 308 342 362	-517564454322
STPT(10)	2412131761946339759	0 2 18 20 30 32 42 44 60 62	-328789379022
SPT(16)	2412131997267230089	0 4 10 60 82 88 102 108 124 130 144 150 172 222 228 232	-93468488692
SPT(16)	2412132044238372739	0 12 34 54 82 90 100 118 174 192 202 210 238 258 280 292	-46497346042
SPT(16)	2412132244461872281	0 16 48 52 88 96 108 126 142 160 172 180 216 220 252 268	153726153500
STPT(10)	2412133071269932037	0 2 24 26 42 44 60 62 84 86	980534213256
STPT(10)	2412133110660100559	0 2 42 44 90 92 138 140 180 182	1019924381778
SPT(16)	2412133428921154481	0 2 12 20 36 48 78 86 102 110 140 152 168 176 186 188	1338185435700
STPT(10)	2412133794795201707	0 2 24 26 42 44 60 62 84 86	1704059482926