Prime p₀= 1272598692752123447 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: Theadalus
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1272598032785814071	0 38 50 86 116 156 168 176 192 200 212 252 282 318 330 368	-659966309376
SPT(16)	1272598085942539669	0 40 60 112 120 172 178 192 208 222 228 280 288 340 360 400	-606809583778
SPT(16)	1272598155235564049	0 54 68 90 114 132 158 182 270 294 320 338 362 384 398 452	-537516559398
STPT(10)	1272598448519844527	0 2 54 56 72 74 90 92 144 146	-244232278920
SPT(16)	1272598468062423527	0 20 62 120 174 224 252 260 306 314 342 392 446 504 546 566	-224689699920
STPT(10)	1272598580968438481	0 2 6 8 18 20 30 32 36 38	-111783684966
STPT(10)	1272598883884898417	0 2 12 14 42 44 72 74 84 86	191132774970
STPT(10)	1272599240953711439	0 2 18 20 30 32 42 44 60 62	548201587992
SPT(16)	1272599299354247989	0 4 34 40 42 48 60 64 108 112 124 130 132 138 168 172	606602124542
SPT(16)	1272599462075280589	0 18 28 70 112 120 130 138 154 162 172 180 222 264 274 292	769323157142
SPT(16)	1272599639565636427	0 30 42 100 114 156 162 166 180 184 190 232 246 304 316 346	946813512980