Prime p₀= 1233127572437222237 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: Spectrum
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1233125894491476319	0 10 28 70 90 124 148 190 192 234 258 292 312 354 372 382	-1677945745918
STPT(10)	1233125993489537837	0 2 30 32 42 44 54 56 84 86	-1578947684400
STPT(10)	1233126215476152857	0 2 30 32 72 74 114 116 144 146	-1356961069380
SPT(16)	1233126228876502159	0 12 52 64 70 78 108 124 138 154 184 192 198 210 250 262	-1343560720078
SPT(16)	1233126470221796071	0 22 28 78 88 96 136 138 160 162 202 210 220 270 276 298	-1102215426166
SPT(16)	1233126686813284061	0 2 30 36 42 60 126 156 182 212 278 296 302 308 336 338	-885623938176
STPT(10)	1233127748896234727	0 2 30 32 42 44 54 56 84 86	176459012490
SPT(16)	1233127780651338529	0 40 48 52 58 70 130 172 180 222 282 294 300 304 312 352	208214116292
SPT(16)	1233128150308470511	0 28 106 118 130 132 142 156 172 186 196 198 210 222 300 328	577871248274
STPT(10)	1233128220426370811	0 2 6 8 48 50 90 92 96 98	647989148574
TPT(14)	1233128634358538429	0 2 12 14 42 44 108 110 150 152 210 212 222 224	1061921316192