Prime p₀= 1118046378465729257 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1118045439852421907	0 2 12 56 72 102 126 182 210 266 290 320 336 380 390 392	-938613307350
SPT(16)	1118045535316180531	0 42 48 58 90 102 112 118 180 186 196 208 240 250 256 298	-843149548726
SPT(16)	1118045655134775947	0 20 42 56 66 74 110 132 164 186 222 230 240 254 276 296	-723330953310
STPT(10)	1118045772632076581	0 2 126 128 138 140 150 152 276 278	-605833652676
SPT(16)	1118046091228214033	0 54 78 86 96 114 198 246 278 326 410 428 438 446 470 524	-287237515224
STPT(10)	1118046116738271767	0 2 54 56 72 74 90 92 144 146	-261727457490
TPT(14)	1118046424859469557	0 2 12 14 60 62 180 182 324 326 420 422 504 506	46393740300
STPT(10)	1118046754574280899	0 2 18 20 30 32 42 44 60 62	376108551642
SPT(16)	1118046914648914693	0 24 46 76 120 174 190 214 216 240 256 310 354 384 406 430	536183185436
SPT(16)	1118047110451920401	0 2 12 30 126 132 158 168 200 210 236 242 338 356 366 368	731986191144
STPT(10)	1118047171463852711	0 2 6 8 48 50 90 92 96 98	792998123454