Prime p₀= 1092569863511405087 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

TPT(14)	1092569354472929561	0 2 48 50 60 62 90 92 126 128 138 140 156 158	-509038475526
SPT(16)	1092569531743020827	0 56 72 74 122 126 170 200 276 306 350 354 402 404 420 476	-331768384260
STPT(10)	1092569708536168727	0 2 42 44 72 74 102 104 144 146	-154975236360
TPT(14)	1092569740799960627	0 2 24 26 72 74 120 122 204 206 330 332 402 404	-122711444460
TPT(16)	1092569795963581289	0 2 30 32 48 50 72 74 132 134 168 170 180 182 198 200	-67547823798
SPT(16)	1092569829724123763	0 24 50 56 96 104 108 134 150 176 180 188 228 234 260 284	-33787281324
SPT(16)	1092570186838368713	0 54 60 80 126 156 170 206 258 294 308 338 384 404 410 464	323326963626
SPT(16)	1092570458421560809	0 10 22 42 78 138 148 202 210 264 274 334 370 390 402 412	594910155722
STPT(10)	1092570578952867629	0 2 18 20 30 32 42 44 60 62	715441462542
STPT(10)	1092570630225904691	0 2 36 38 78 80 120 122 156 158	766714499604
STPT(10)	1092570748341167267	0 2 30 32 42 44 54 56 84 86	884829762180