Prime p₀= 1427426065036247987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: matali
db: batch=78, k=10, 2 40 2 28 2

SPT(13)	1427423856307814441	0 30 48 60 72 102 150 198 228 240 252 270 300	-2208728433546
TPT(14)	1427424785166749231	0 2 30 32 36 38 78 80 90 92 156 158 258 260	-1279869498756
SPT(16)	1427425009788858799	0 42 52 88 120 130 154 160 162 168 192 202 234 270 280 322	-1055247389188
SPT(16)	1427425314177311893	0 36 90 136 138 148 166 174 280 288 306 316 318 364 418 454	-750858936094
SPT(16)	1427425595856601459	0 48 60 72 108 130 160 174 178 192 222 244 280 292 304 352	-469179646528
STPT(10)	1427425810139046791	0 2 78 80 108 110 138 140 216 218	-254897201196
STPT(10)	1427426248300322519	0 2 18 20 30 32 42 44 60 62	183264074532
STPT(10)	1427426443843855307	0 2 30 32 72 74 114 116 144 146	378807607320
SPT(16)	1427426824503754973	0 6 30 38 66 68 110 120 266 276 318 320 348 356 380 386	759467506986
SPT(18)	1427427072566287447	0 6 36 76 90 102 144 166 180 196 210 232 274 286 300 340 370 376	1007530039460
STPT(10)	1427427106023948851	0 2 6 8 48 50 90 92 96 98	1040987700864