Prime p₀= 2101568489987001977 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2101566671385960587	0 2 54 56 72 74 90 92 144 146	-1818601041390
SPT(16)	2101566953189007719	0 8 42 72 104 114 134 150 182 198 218 228 260 290 324 332	-1536797994258
STPT(12)	2101567942450496579	0 2 42 44 120 122 132 134 210 212 252 254	-547536505398
SPT(16)	2101568076791376727	0 10 24 72 112 156 174 186 310 322 340 384 424 472 486 496	-413195625250
SPT(16)	2101568404487483209	0 24 42 54 70 84 90 124 288 322 328 342 358 370 388 412	-85499518768
SPT(16)	2101568460655395533	0 18 50 60 126 140 146 170 174 198 204 218 284 294 326 344	-29331606444
STPT(10)	2101568623918889087	0 2 30 32 42 44 54 56 84 86	133931887110
SPT(16)	2101568668644268081	0 18 48 90 96 108 118 126 220 228 238 250 256 298 328 346	178657266104
STPT(10)	2101568830185910367	0 2 42 44 72 74 102 104 144 146	340198908390
SPT(16)	2101569487267714151	0 8 20 32 48 50 132 230 240 338 420 422 438 450 462 470	997280712174
TPT(14)	2101570424323804241	0 2 36 38 66 68 90 92 96 98 168 170 216 218	1934336802264