Prime p₀= 2729661411804749801 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: Orange Kid
db: batch=82, k=10, 2 34 2 40 2

TPT(14)	2729659906450785569	0 2 48 50 60 62 72 74 132 134 162 164 198 200	-1505353964232
SPT(16)	2729660127929200061	0 12 32 50 56 98 102 138 140 176 180 222 228 246 266 278	-1283875549740
STPT(10)	2729660726173931351	0 2 6 8 48 50 90 92 96 98	-685630818450
TPT(14)	2729660927760672107	0 2 42 44 72 74 114 116 210 212 234 236 270 272	-484044077694
STPT(10)	2729661108729358547	0 2 42 44 72 74 102 104 144 146	-303075391254
SPT(16)	2729661267665873809	0 24 60 78 94 108 112 154 168 210 214 228 244 262 298 322	-144138875992
STPT(10)	2729661475365561437	0 2 30 32 42 44 54 56 84 86	63560811636
SPT(16)	2729661529268074963	0 16 24 126 148 214 238 246 268 276 300 366 388 490 498 514	117463325162
STPT(10)	2729662151142758747	0 2 24 26 42 44 60 62 84 86	739338008946
SPT(16)	2729662414764191239	0 22 42 78 84 100 112 132 190 210 222 238 244 280 300 322	1002959441438
STPT(10)	2729662548925566641	0 2 30 32 78 80 126 128 156 158	1137120816840