Prime p₀= 1254377868599128409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Cruncher Pete
db: batch=77, k=10, 2 40 2 46 2

TPT(14)	1254377316904705991	0 2 30 32 90 92 138 140 156 158 180 182 216 218	-551694422418
STPT(10)	1254377348505621251	0 2 6 8 18 20 30 32 36 38	-520093507158
STPT(10)	1254377690369161409	0 2 42 44 60 62 78 80 120 122	-178229967000
STPT(10)	1254377701506356429	0 2 30 32 60 62 90 92 120 122	-167092771980
STPT(10)	1254377840213718641	0 2 36 38 78 80 120 122 156 158	-28385409768
SPT(16)	1254377854770738431	0 38 68 110 152 186 222 272 276 326 362 396 438 480 510 548	-13828389978
STPT(12)	1254378010215386429	0 2 18 20 42 44 48 50 72 74 90 92	141616258020
STPT(10)	1254378249060450221	0 2 36 38 78 80 120 122 156 158	380461321812
SPT(16)	1254378503878614461	0 26 78 98 110 128 156 162 176 182 210 228 240 260 312 338	635279486052
SPT(16)	1254379297340984599	0 12 52 58 108 124 144 154 168 178 198 214 264 270 310 322	1428741856190
SPT(16)	1254379351473116123	0 48 54 66 80 84 98 180 344 426 440 444 458 470 476 524	1482873987714