Prime p₀= 1235464796144747261 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: xii5ku
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1235462923056818383	0 16 28 46 48 70 88 114 160 186 204 226 228 246 258 274	-1873087928878
STPT(10)	1235463384592215041	0 2 6 8 48 50 90 92 96 98	-1411552532220
STPT(10)	1235463557584465421	0 2 36 38 78 80 120 122 156 158	-1238560281840
STPT(10)	1235463647940249797	0 2 24 26 42 44 60 62 84 86	-1148204497464
STPT(10)	1235464237303641641	0 2 6 8 18 20 30 32 36 38	-558841105620
SPT(16)	1235464431408512623	0 10 16 24 54 84 106 118 156 168 190 220 250 258 264 274	-364736234638
TPT(16)	1235465017066563161	0 2 30 32 90 92 138 140 168 170 258 260 300 302 306 308	220921815900
STPT(10)	1235465072274706709	0 2 42 44 60 62 78 80 120 122	276129959448
SPT(18)	1235465234504228719	0 4 18 28 34 40 54 78 82 90 94 118 132 138 144 154 168 172	438359481458
SPT(16)	1235465390841350783	0 14 44 56 90 98 104 170 174 240 246 254 288 300 330 344	594696603522
TPT(14)	1235465601392686967	0 2 84 86 90 92 132 134 162 164 372 374 414 416	805247939706