Prime p₀= 1121508084242794667 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=76, k=10, 2 10 2 28 2

SPT(16)	1121505550427128511	0 8 12 36 50 66 68 78 140 150 152 168 182 206 210 218	-2533815666156
SPT(16)	1121505898780840369	0 4 10 24 84 90 102 124 180 202 214 220 280 294 300 304	-2185461954298
STPT(12)	1121505994216874081	0 2 30 32 60 62 96 98 126 128 156 158	-2090025920586
STPT(10)	1121506930702885547	0 2 60 62 72 74 84 86 144 146	-1153539909120
SPT(16)	1121507482874606873	0 8 50 78 80 206 210 240 314 344 348 474 476 504 546 554	-601368187794
STPT(10)	1121507793207733247	0 2 30 32 42 44 54 56 84 86	-291035061420
SPT(16)	1121508110885763449	0 38 92 140 270 312 330 380 450 500 518 560 690 738 792 830	26642968782
SPT(16)	1121508422166734681	0 32 56 60 66 128 140 150 248 258 270 332 338 342 366 398	337923940014
STPT(12)	1121508446361375071	0 2 18 20 60 62 96 98 138 140 156 158	362118580404
SPT(16)	1121508524776221877	0 40 42 54 66 70 136 150 196 210 276 280 292 304 306 346	440533427210
SPT(16)	1121508643049031661	0 12 28 30 76 100 112 118 180 186 198 222 268 270 286 298	558806236994