Prime p₀= 2336725387834295987 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2336724770008744259	0 44 48 62 72 92 104 138 254 288 300 320 330 344 348 392	-617825551728
SPT(16)	2336724781280954717	0 44 50 56 60 92 126 170 246 290 324 356 360 366 372 416	-606553341270
STPT(10)	2336724809150095421	0 2 36 38 78 80 120 122 156 158	-578684200566
SPT(16)	2336724840853843351	0 6 90 126 160 168 198 238 300 340 370 378 412 448 532 538	-546980452636
SPT(16)	2336725127130650107	0 4 40 42 70 82 124 126 190 192 234 246 274 276 312 316	-260703645880
SPT(16)	2336725285049765543	0 66 96 98 104 108 230 264 290 324 446 450 456 458 488 554	-102784530444
STPT(10)	2336725639353673541	0 2 120 122 138 140 156 158 276 278	251519377554
TPT(14)	2336725732383621347	0 2 42 44 84 86 150 152 192 194 222 224 234 236	344549325360
SPT(16)	2336726022767476049	0 12 14 20 72 98 108 152 210 254 264 290 342 348 350 362	634933180062
SPT(16)	2336726314539813793	0 36 70 88 108 130 186 190 216 220 276 298 318 336 370 406	926705517806
STPT(10)	2336726417233548797	0 2 30 32 72 74 114 116 144 146	1029399252810