Prime p₀= 741159181506975557 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	741158384319783823	0 16 40 60 70 96 130 154 240 264 298 324 334 354 378 394	-797187191734
STPT(10)	741158450587635989	0 2 18 20 30 32 42 44 60 62	-730919339568
STPT(10)	741158493377048441	0 2 30 32 78 80 126 128 156 158	-688129927116
TPT(14)	741158630922970991	0 2 78 80 90 92 120 122 150 152 168 170 276 278	-550584004566
SPT(16)	741158782976964901	0 6 52 90 106 112 120 142 216 238 246 252 268 306 352 358	-398530010656
STPT(10)	741158926234908821	0 2 6 8 48 50 90 92 96 98	-255272066736
STPT(10)	741159908452003499	0 2 18 20 30 32 42 44 60 62	726945027942
SPT(16)	741159909396320033	0 8 14 86 114 138 146 156 158 168 176 200 228 300 306 314	727889344476
SPT(16)	741160633935911593	0 4 18 40 76 78 88 96 118 126 136 138 174 196 210 214	1452428936036
SPT(16)	741160790906223521	0 42 78 86 116 138 140 162 326 348 350 372 402 410 446 488	1609399247964
STPT(12)	741161112868253219	0 2 30 32 42 44 60 62 72 74 102 104	1931361277662