Prime p₀= 2746132807161053657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2746131764456125769	0 14 48 98 110 114 188 198 230 240 314 318 330 380 414 428	-1042704927888
STPT(10)	2746131851737751831	0 2 6 8 48 50 90 92 96 98	-955423301826
SPT(16)	2746132308907870039	0 42 114 150 154 174 192 202 300 310 328 348 352 388 460 502	-498253183618
STPT(10)	2746132627833392849	0 2 42 44 60 62 78 80 120 122	-179327660808
SPT(16)	2746132651552330967	0 12 20 26 42 54 56 62 174 180 182 194 210 216 224 236	-155608722690
STPT(10)	2746132705628451911	0 2 30 32 78 80 126 128 156 158	-101532601746
SPT(16)	2746133497177039289	0 62 74 140 162 180 188 204 248 264 272 290 312 378 390 452	690015985632
SPT(16)	2746133601246541901	0 42 72 90 132 146 162 168 170 176 192 206 248 266 296 338	794085488244
SPT(16)	2746133726594957561	0 56 66 108 128 140 146 168 170 192 198 210 230 272 282 338	919433903904
STPT(10)	2746133726974764827	0 2 30 32 42 44 54 56 84 86	919813711170
TPT(14)	2746134175794645749	0 2 12 14 150 152 192 194 222 224 240 242 318 320	1368633592092