Prime p₀= 1272460236915007331 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: gemini8
db: batch=77, k=10, 2 34 2 40 2

STPT(10)	1272458805949687721	0 2 30 32 78 80 126 128 156 158	-1430965319610
SPT(16)	1272459139085127709	0 22 42 48 52 84 94 118 234 258 268 300 304 310 330 352	-1097829879622
SPT(16)	1272459568223606669	0 18 20 84 102 104 140 168 194 222 258 260 278 342 344 362	-668691400662
STPT(10)	1272459621080117291	0 2 6 8 48 50 90 92 96 98	-615834890040
STPT(10)	1272459815051534687	0 2 42 44 132 134 222 224 264 266	-421863472644
SPT(16)	1272459950697088957	0 12 46 52 66 90 154 172 174 192 256 280 294 300 334 346	-286217918374
STPT(10)	1272460859936882027	0 2 24 26 42 44 60 62 84 86	623021874696
SPT(16)	1272461655075611411	0 12 56 92 110 120 162 186 242 266 308 318 336 372 416 428	1418160604080
STPT(10)	1272461892971569187	0 2 30 32 42 44 54 56 84 86	1656056561856
SPT(16)	1272462021659506177	0 12 40 66 76 96 100 154 162 216 220 240 250 276 304 316	1784744498846
SPT(16)	1272462433764382957	0 12 42 46 52 76 106 132 250 276 306 330 336 340 370 382	2196849375626