Prime p₀= 2352319793447555471 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: conf [MM]
db: batch=81, k=10, 2 76 2 58 2

SPT(16)	2352318603428210561	0 2 36 102 138 218 240 242 306 308 330 410 446 512 546 548	-1190019344910
STPT(10)	2352318718477663751	0 2 6 8 48 50 90 92 96 98	-1074969891720
STPT(10)	2352318739727111999	0 2 18 20 30 32 42 44 60 62	-1053720443472
STPT(10)	2352318965806550957	0 2 60 62 72 74 84 86 144 146	-827641004514
STPT(10)	2352319696562451797	0 2 30 32 42 44 54 56 84 86	-96885103674
SPT(16)	2352319776066678169	0 12 42 48 72 82 90 142 180 232 240 250 274 280 310 322	-17380877302
SPT(16)	2352320015574330799	0 28 60 64 78 82 84 130 222 268 270 274 288 292 324 352	222126775328
SPT(16)	2352320327878532257	0 12 24 54 72 100 120 130 204 214 234 262 280 310 322 334	534430976786
SPT(16)	2352320359380598489	0 4 70 72 102 124 142 154 180 192 210 232 262 264 330 334	565933043018
STPT(10)	2352320423407964369	0 2 42 44 90 92 138 140 180 182	629960408898
STPT(10)	2352320514167541647	0 2 30 32 72 74 114 116 144 146	720719986176