Prime p₀= 2816129325195269957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2816127775930578191	0 20 62 68 78 90 98 122 288 312 320 332 342 348 390 410	-1549264691766
STPT(10)	2816128096066102799	0 2 18 20 60 62 102 104 120 122	-1229129167158
SPT(16)	2816128475240521201	0 10 60 76 88 120 132 138 160 166 178 210 222 238 288 298	-849954748756
SPT(18)	2816128493379654671	0 12 36 66 78 80 86 108 122 126 140 162 168 170 182 212 236 248	-831815615286
STPT(10)	2816128828044763241	0 2 6 8 48 50 90 92 96 98	-497150506716
SPT(16)	2816129291900284067	0 2 26 30 36 50 80 96 140 156 186 200 206 210 234 236	-33294985890
STPT(10)	2816129447000275961	0 2 36 38 78 80 120 122 156 158	121805006004
STPT(10)	2816129477192583047	0 2 12 14 42 44 72 74 84 86	151997313090
SPT(16)	2816129724130062467	0 26 44 50 96 114 116 140 156 180 182 200 246 252 270 296	398934792510
SPT(16)	2816129755635999161	0 78 80 90 98 150 156 188 228 260 266 318 326 336 338 416	430440729204
STPT(10)	2816129796618537197	0 2 30 32 42 44 54 56 84 86	471423267240