Prime p₀= 1235303140334456717 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1235301950971440563	0 18 80 98 110 116 120 164 180 224 228 234 246 264 326 344	-1189363016154
STPT(10)	1235302407834781499	0 2 48 50 90 92 132 134 180 182	-732499675218
SPT(16)	1235302435825194211	0 30 40 48 60 70 118 132 166 180 228 238 250 258 268 298	-704509262506
SPT(16)	1235302593322964447	0 14 24 66 80 84 134 140 150 156 206 210 224 266 276 290	-547011492270
SPT(16)	1235302784857562809	0 10 22 78 124 160 168 204 238 274 282 318 364 420 432 442	-355476893908
SPT(16)	1235302882493577977	0 2 44 50 120 132 162 170 216 224 254 266 336 342 384 386	-257840878740
STPT(10)	1235303563978773629	0 2 18 20 30 32 42 44 60 62	423644316912
SPT(16)	1235303566863808439	0 12 54 72 90 98 132 134 138 140 174 182 200 218 260 272	426529351722
STPT(10)	1235303687028688967	0 2 30 32 42 44 54 56 84 86	546694232250
STPT(10)	1235303720399534081	0 2 6 8 18 20 30 32 36 38	580065077364
STPT(10)	1235303759021713697	0 2 30 32 42 44 54 56 84 86	618687256980