Prime p₀= 746578656995936507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	746577928039952081	0 2 78 80 108 110 138 140 216 218	-728955984426
STPT(10)	746577991400396717	0 2 42 44 72 74 102 104 144 146	-665595539790
TPT(14)	746578262594426111	0 2 48 50 90 92 120 122 126 128 150 152 306 308	-394401510396
SPT(16)	746578412246542919	0 8 30 50 60 84 110 170 192 252 278 302 312 332 354 362	-244749393588
STPT(10)	746578503302560931	0 2 30 32 60 62 90 92 120 122	-153693375576
SPT(16)	746578508798432941	0 10 46 52 60 72 102 142 180 220 250 262 270 276 312 322	-148197503566
STPT(10)	746578978071548519	0 2 42 44 60 62 78 80 120 122	321075612012
SPT(16)	746579052018088903	0 6 78 84 118 124 154 160 174 180 210 216 250 256 328 334	395022152396
SPT(16)	746579136986724673	0 88 106 126 186 190 198 228 238 268 276 280 340 360 378 466	479990788166
SPT(16)	746579176869787601	0 32 60 116 126 132 140 146 156 162 170 176 186 242 270 302	519873851094
STPT(10)	746579340561153479	0 2 78 80 120 122 162 164 240 242	683565216972