Prime p₀= 1172813843818299887 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: HenkM
db: batch=77, k=10, 2 10 2 28 2

SPT(18)	1172812645612352509	0 4 22 78 84 90 120 202 220 252 270 352 382 388 394 450 468 472	-1198205947378
STPT(10)	1172812816716238931	0 2 36 38 78 80 120 122 156 158	-1027102060956
STPT(10)	1172813010789576851	0 2 36 38 78 80 120 122 156 158	-833028723036
SPT(16)	1172813058906655277	0 12 42 56 86 96 116 150 326 360 380 390 420 434 464 476	-784911644610
SPT(16)	1172813167458711421	0 40 48 60 88 90 102 142 156 196 208 210 238 250 258 298	-676359588466
SPT(16)	1172813245753015007	0 50 92 96 102 110 170 176 246 252 312 320 326 330 372 422	-598065284880
SPT(16)	1172813911293995689	0 78 90 148 154 208 220 258 280 318 330 384 390 448 460 538	67475695802
SPT(20)	1172814202684499251	0 10 52 70 132 148 216 262 268 282 316 330 336 382 450 466 528 546 588 598	358866199364
SPT(16)	1172814347886508001	0 48 146 162 182 218 246 252 296 302 330 366 386 402 500 548	504068208114
SPT(16)	1172814489549283417	0 6 36 102 114 132 144 156 160 172 184 202 214 280 310 316	645730983530
SPT(16)	1172814883771013563	0 40 54 84 196 204 238 240 244 246 280 288 400 430 444 484	1039952713676