Prime p₀= 2802236961983402609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2802236302205008423	0 6 28 40 58 76 138 156 238 256 318 336 354 366 388 394	-659778394186
SPT(20)	2802236309216247703	0 24 60 118 148 184 238 298 324 340 384 400 426 486 540 576 606 664 700 724	-652767154906
SPT(16)	2802236581945516993	0 6 16 36 58 60 76 90 154 168 184 186 208 228 238 244	-380037885616
STPT(10)	2802236713525597877	0 2 42 44 72 74 102 104 144 146	-248457804732
STPT(10)	2802236775836397041	0 2 6 8 18 20 30 32 36 38	-186147005568
SPT(16)	2802236790731617081	0 12 78 82 148 150 156 192 196 232 238 240 306 310 376 388	-171251785528
STPT(10)	2802236962927895159	0 2 42 44 60 62 78 80 120 122	944492550
STPT(10)	2802237065315554619	0 2 18 20 30 32 42 44 60 62	103332152010
SPT(16)	2802237087251565479	0 98 110 194 200 252 302 308 354 360 410 462 468 552 564 662	125268162870
SPT(16)	2802237729986862457	0 24 34 42 52 64 174 190 294 310 420 432 442 450 460 484	768003459848
SPT(16)	2802237891064391599	0 18 52 70 94 102 120 130 162 172 190 198 222 240 274 292	929080988990