Prime p₀= 789046657093985177 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]FX
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	789046089483464531	0 12 42 96 102 180 228 246 252 270 318 396 402 456 486 498	-567610520646
SPT(16)	789046234707850577	0 6 66 84 86 104 110 146 174 210 216 234 236 254 314 320	-422386134600
SPT(16)	789046271642994913	0 18 48 84 118 126 130 148 216 234 238 246 280 316 346 364	-385450990264
SPT(16)	789046351406060203	0 24 36 40 60 66 78 84 190 196 208 214 234 238 250 274	-305687924974
SPT(16)	789046614457492997	0 6 14 20 30 60 72 84 92 104 116 146 156 162 170 176	-42636492180
SPT(16)	789046644939864029	0 14 42 50 60 78 98 110 132 144 164 182 192 200 228 242	-12154121148
STPT(10)	789046664690156567	0 2 60 62 102 104 144 146 204 206	7596171390
TPT(14)	789046825696067429	0 2 78 80 138 140 162 164 168 170 240 242 252 254	168602082252
SPT(16)	789046833648567233	0 24 50 84 104 134 138 150 164 176 180 210 230 264 290 314	176554582056
STPT(10)	789047150761285847	0 2 30 32 72 74 114 116 144 146	493667300670
SPT(16)	789047176134309707	0 26 66 84 140 150 174 236 270 332 356 366 422 440 480 506	519040324530