Prime p₀= 2582093038939313927 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2582089560193864321	0 12 46 82 102 112 126 138 160 172 186 196 216 252 286 298	-3478745449606
STPT(10)	2582090448216827459	0 2 18 20 30 32 42 44 60 62	-2590722486468
SPT(16)	2582091229235482057	0 30 46 90 114 120 130 144 382 396 406 412 436 480 496 526	-1809703831870
SPT(16)	2582091316058071217	0 50 66 140 152 156 164 170 456 462 470 474 486 560 576 626	-1722881242710
STPT(10)	2582092307129413607	0 2 42 44 72 74 102 104 144 146	-731809900320
SPT(16)	2582092690529157151	0 22 30 42 52 120 132 142 168 178 190 258 268 280 288 310	-348410156776
SPT(16)	2582093229368016053	0 8 18 48 50 56 74 114 200 240 258 264 266 296 306 314	190428702126
TPT(14)	2582093690440227569	0 2 102 104 138 140 210 212 222 224 240 242 270 272	651500913642
STPT(10)	2582093817631232459	0 2 42 44 60 62 78 80 120 122	778691918532
SPT(16)	2582094250189554091	0 52 78 106 132 168 172 192 316 336 340 376 402 430 456 508	1211250240164
SPT(16)	2582094333320505139	0 24 58 90 94 148 154 174 178 198 204 258 262 294 328 352	1294381191212