Prime p₀= 1297351511982121439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1297350961656470233	0 28 34 36 78 94 106 178 186 258 270 286 328 330 336 364	-550325651206
STPT(10)	1297351045292734037	0 2 12 14 72 74 132 134 144 146	-466689387402
SPT(16)	1297351130288683901	0 30 48 56 68 96 140 170 186 216 260 288 300 308 326 356	-381693437538
STPT(10)	1297351222849682939	0 2 42 44 120 122 198 200 240 242	-289132438500
SPT(16)	1297351485932599379	0 8 14 44 60 80 84 120 128 164 168 188 204 234 240 248	-26049522060
SPT(16)	1297351511109995359	0 12 42 82 120 130 148 154 198 204 222 232 270 310 340 352	-872126080
SPT(16)	1297351627759241983	0 60 66 76 88 90 120 168 196 244 274 276 288 298 304 364	115777120544
STPT(10)	1297351700705901089	0 2 18 20 30 32 42 44 60 62	188723779650
STPT(10)	1297351767832314167	0 2 30 32 42 44 54 56 84 86	255850192728
TPT(14)	1297352464209268529	0 2 12 14 60 62 102 104 138 140 150 152 168 170	952227147090
SPT(16)	1297352508033911587	0 16 34 40 70 82 114 126 130 142 174 186 216 222 240 256	996051790148