Prime p₀= 3091377753715540769 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: Groo
db: batch=83, k=10, 2 16 2 10 2

STPT(10)	3091375204835078387	0 2 30 32 72 74 114 116 144 146	-2548880462382
SPT(16)	3091376170372791233	0 44 78 84 86 126 150 186 308 344 368 408 410 416 450 494	-1583342749536
SPT(16)	3091376723815058677	0 10 52 60 84 102 124 126 190 192 214 232 256 264 306 316	-1029900482092
SPT(16)	3091376798910861763	0 24 40 54 60 78 106 126 148 168 196 214 220 234 250 274	-954804679006
SPT(16)	3091377083042819227	0 4 24 30 40 72 76 94 132 150 154 186 196 202 222 226	-670672721542
STPT(10)	3091377238930678727	0 2 30 32 42 44 54 56 84 86	-514784862042
STPT(10)	3091377993363084251	0 2 30 32 78 80 126 128 156 158	239647543482
STPT(10)	3091378008189438041	0 2 6 8 48 50 90 92 96 98	254473897272
SPT(16)	3091378279601602349	0 24 60 74 140 144 162 164 168 170 188 192 258 272 308 332	525886061580
STPT(10)	3091378625579462357	0 2 60 62 72 74 84 86 144 146	871863921588
SPT(16)	3091379321891531117	0 12 96 104 126 144 182 222 284 324 362 380 402 410 494 506	1568175990348